{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## _*H2 ground state energy plot using different qubit mappings*_\n",
    "\n",
    "This notebook demonstrates using Qiskit Chemistry to plot graphs of the ground state energy of the Hydrogen (H2) molecule over a range of inter-atomic distances with different fermionic mappings to quantum qubits.\n",
    "\n",
    "This notebook has been written to use the PYSCF chemistry driver."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing step 20 --- complete\n",
      "Distances:  [0.5   0.525 0.55  0.575 0.6   0.625 0.65  0.675 0.7   0.725 0.75  0.775\n",
      " 0.8   0.825 0.85  0.875 0.9   0.925 0.95  0.975 1.   ]\n",
      "Energies: [[[-1.05515979 -1.0759134  -1.08560852 -1.0915705  -1.11628601\n",
      "   -1.12415219 -1.11299655 -1.11597526 -1.13618112 -1.13722137\n",
      "   -1.13711604 -1.13604126 -1.13414766 -1.13155071 -1.10251055\n",
      "   -1.09745432 -1.12056028 -1.11609624 -1.11133942 -1.07300676\n",
      "   -1.10115028]\n",
      "  [-1.05515979 -1.07591366 -1.09262991 -1.10591805 -1.11628601\n",
      "   -1.12416092 -1.12990478 -1.13382622 -1.13618945 -1.13722138\n",
      "   -1.13711707 -1.13604436 -1.13414767 -1.13155121 -1.12836188\n",
      "   -1.12467175 -1.12056028 -1.11609624 -1.11133942 -1.10634211\n",
      "   -1.10115033]]\n",
      "\n",
      " [[-1.05515735 -0.38515209 -1.0926299  -0.43863366 -0.46025198\n",
      "   -1.1241609  -1.12990477 -1.13382616 -1.13618945 -1.13722138\n",
      "   -1.13711705 -1.13604435 -1.13414767 -1.1315512  -1.12836188\n",
      "   -1.12467175 -1.12056028 -1.11609619 -1.11133941 -1.10634211\n",
      "   -1.10115033]\n",
      "  [-1.05515979 -1.07591366 -1.09262991 -1.10591805 -1.11628601\n",
      "   -1.12416092 -1.12990478 -1.13382622 -1.13618945 -1.13722138\n",
      "   -1.13711707 -1.13604436 -1.13414767 -1.13155121 -1.12836188\n",
      "   -1.12467175 -1.12056028 -1.11609624 -1.11133942 -1.10634211\n",
      "   -1.10115033]]\n",
      "\n",
      " [[-0.35217394 -1.07591366 -1.09262991 -1.10591801 -1.10112824\n",
      "   -1.12415585 -1.12990478 -1.13382583 -1.13618945 -1.13722138\n",
      "   -1.13711707 -1.13604436 -1.13414763 -1.1315512  -1.12836188\n",
      "   -1.09745432 -1.12056028 -1.11609624 -1.11133942 -1.10634191\n",
      "   -1.10115033]\n",
      "  [-1.05515979 -1.07591366 -1.09262991 -1.10591805 -1.11628601\n",
      "   -1.12416092 -1.12990478 -1.13382622 -1.13618945 -1.13722138\n",
      "   -1.13711707 -1.13604436 -1.13414767 -1.13155121 -1.12836188\n",
      "   -1.12467175 -1.12056028 -1.11609624 -1.11133942 -1.10634211\n",
      "   -1.10115033]]]\n",
      "Hartree-Fock energies: [-1.04299627 -1.06306214 -1.07905074 -1.0915705  -1.10112824 -1.10814999\n",
      " -1.11299655 -1.11597526 -1.11734903 -1.11734327 -1.11615145 -1.11393966\n",
      " -1.1108504  -1.10700581 -1.10251055 -1.09745432 -1.09191404 -1.08595587\n",
      " -1.07963693 -1.07300676 -1.06610865]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab\n",
    "from qiskit import BasicAer\n",
    "from qiskit.aqua import aqua_globals, QuantumInstance\n",
    "from qiskit.aqua.algorithms import NumPyMinimumEigensolver, VQE\n",
    "from qiskit.aqua.components.optimizers import L_BFGS_B\n",
    "from qiskit.circuit.library import TwoLocal\n",
    "from qiskit.chemistry.drivers import PySCFDriver\n",
    "from qiskit.chemistry.core import Hamiltonian, QubitMappingType\n",
    "\n",
    "molecule = 'H .0 .0 -{0}; H .0 .0 {0}'\n",
    "\n",
    "algorithms = ['VQE', 'NumPyMinimumEigensolver']\n",
    "mappings   = [QubitMappingType.JORDAN_WIGNER,\n",
    "              QubitMappingType.PARITY,\n",
    "              QubitMappingType.BRAVYI_KITAEV]\n",
    "start = 0.5  # Start distance\n",
    "by    = 0.5  # How much to increase distance by\n",
    "steps = 20   # Number of steps to increase by\n",
    "energies  = np.empty([len(mappings), len(algorithms), steps+1])\n",
    "hf_energies = np.empty(steps+1)\n",
    "distances = np.empty(steps+1)\n",
    "\n",
    "aqua_globals.random_seed = 50\n",
    "\n",
    "print('Processing step __', end='')\n",
    "for i in range(steps+1):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    d = start + i*by/steps \n",
    "    for j in range(len(algorithms)):\n",
    "        for k in range(len(mappings)): \n",
    "            driver = PySCFDriver(molecule.format(d/2), basis='sto3g')\n",
    "            qmolecule = driver.run()\n",
    "            operator =  Hamiltonian(qubit_mapping=mappings[k], two_qubit_reduction=False)\n",
    "            qubit_op, aux_ops = operator.run(qmolecule)\n",
    "            if algorithms[j] == 'NumPyMinimumEigensolver':\n",
    "                result = NumPyMinimumEigensolver(qubit_op).run()\n",
    "            else:\n",
    "                optimizer = L_BFGS_B(maxfun=2500)\n",
    "                var_form = TwoLocal(qubit_op.num_qubits, ['ry', 'rz'], 'cz', reps=5)\n",
    "                algo = VQE(qubit_op, var_form, optimizer)\n",
    "                result = algo.run(QuantumInstance(BasicAer.get_backend('statevector_simulator'),\n",
    "                                    seed_simulator=aqua_globals.random_seed,\n",
    "                                    seed_transpiler=aqua_globals.random_seed))\n",
    "\n",
    "            result = operator.process_algorithm_result(result)\n",
    "            energies[k][j][i] = result.energy\n",
    "            hf_energies[i] = result.hartree_fock_energy  # Independent of algorithm & mapping\n",
    "    distances[i] = d\n",
    "print(' --- complete')\n",
    "\n",
    "print('Distances: ', distances)\n",
    "print('Energies:', energies)\n",
    "print('Hartree-Fock energies:', hf_energies)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iWs62uL5u6mkGjUYj5vIY1zAHu7qyg2/z74ab/r7eqsPyPpLMtxBCCFE13exlJ38JRu3qzLc52K2E4Ns2KMwzmn43GCT4diQ35Wb3IUcIcXO5ceMGR48e5dq1a5U9FCGEC9SoUYNmzZpRvXr1UrWX4NsFjBhdW3phyXznuT741vxZDmEJEF35weNWkP8bBiHEzeXo0aPUrl2bVq1aufZbTyGEy2mtOXfuHEePHqV169alOkZSki6QZ3TxDZeWzLeLAzQD9plvqfl2Dgm+hbi5Xbt2DW9vbwm8hbgFKKXw9vYu0zddEhW5gFG7NvOtLGUeea6tC3YzuNndCGiZ7USCb8fKX94jhLj5SOAtxK2jrP/fJSpyAVfPdoJ5aj9tdO2MGAplX/Nt/l2Cb8eSmm8hREm8vOznIYiJiWHixIll6iM1NZW1a4ud76BCYmJiaNCgAQEBAQQEBDB6dNnXg0hISGDIkCFOGJ0QziM13y7g6tlOlHWebxdnvlW+zLfUfDuFUkqCbyGEU+Xm5pKamsqOHTsYPHhwofurVat4CBEVFcX8+fMr3I8QVYmkJF0gT+dVUubbtQGaUvaZb+tUg5L5dig35SZlJ0KIclu1ahU9e/aka9euDBgwgFOnTgEwY8YMHnnkEYKDg3nkkUeYPn06cXFxBAQEEBcXV2B/Xl4eU6dOpUePHnTp0oUPP/zQeo633nrLuv3VV18t0/hSU1P529/+RpcuXYiMjOT8+fMAHDp0iAEDBuDv70+3bt345Zdf7I7bvn07Xbt2LbBdiJuNZL6d7Nv0U2Scuox3yztcd9JKWuEyfzmElJ04h9xwKUTVMXNVGunHLzm0T58mt/HqA52LbZOdnU1AQID18R9//EFYWBgAffr0YevWrSil+Pjjj3nzzTd55513AEhPTycpKQlPT09iYmLYsWOHNTM9Y8YMu/0fffQRderUYfv27Vy/fp3g4GAGDhxIRkYGGRkZJCcno7UmLCyMzZs307dv3wLjjIuLIykpCYBnnnmGRx99lNGjRzNv3jz69evH9OnTmTlzJnPmzGHUqFFMmzaNyMhIrl27htFo5MiRIwBs2bKFSZMmsXLlSlq0aFHxiyyEE0nw7WT1arlzPS+Xs5dzXHbOylrhMn85hGS+nUNqvoUQJfH09CQ1NdX62BJIg2kqxKioKE6cOEFOTo7d9GhhYWF4enoW2a/t/g0bNrBnzx6WLVsGwMWLF8nIyGDDhg1s2LCBrl27ApCVlUVGRkahwXf+spOLFy9y4cIF+vXrB8CYMWMYPnw4ly9f5tixY0RGRgKmeZUt9u/fz+OPP86GDRto0qRJ2S6UEJVAgm8n69aiLtXd4OQl1wXflTXPd/6gUGq+nUNqvoWoOkrKUFeGSZMm8dxzzxEWFkZCQgIzZsyw7qtVq1axx9ru11ozb948Bg0aZNdm/fr1vPzyyzzxxBN22//73/+yYMECAIfeyNm4cWOuXbvGrl27JPgWVYKkJJ1MKYVXDTfOXr7B2azrrjlnZc3zXdTy8pL5diip+RZCVMTFixdp2rQpAJ988kmR7WrXrs3ly5eL3D9o0CDef/99bty4AcDBgwe5cuUKgwYNYtGiRWRlZQFw7NgxTp8+zdNPP01qaiqpqalFBsl16tTh9ttvJzExEYBPP/2Ufv36Ubt2bZo1a8aKFSsAuH79OlevXgWgbt26rFmzhpdffpmEhISyXQwhKoFERS5Qy8OA1oq1e0+45oQGS+bbtQFageXlpebbKQzKYDerjBBClMWMGTMYPnw4gYGB1K9fv8h2/fv3Jz093XrDZX7jx4/Hx8eHbt264evryxNPPEFubi4DBw5k5MiR9OrVCz8/P4YNG1ZsEJ/fJ598wtSpU+nSpQupqalMnz4dMAXi7733Hl26dKF3796cPHnSekzDhg1ZvXo1Tz/9NNu2bSvD1RDC9dSt9Ee8e/fu2lLz5kr3fXUf5841pkXeeJY92dvp58v68UeOPDaelp8voWa3bk4/n8W/t/6bDZkb2DxiMwA7T+1kzDdj+PCeD+ndxPnP+1Yx+OvB+NX34z99/1PZQxFCFGL//v106tSpsochhHChwv7fK6VStNbd87eVlKQLaDTN69Vix2/nOXr+qtPPV1krXBaV+Zaab8eSGy6FEEKIqkuCbxfI03m0uN10k8qq3S4oPamkFS7zL7Jj+V3KThxLphoUQgghqi6JilzAaDRym6cHXVvUJX73caefz7rCpYsDtPyL7EjNt3NI8C2EEEJUXRIVuYARIwZlIMy/CftPXCLjVOlvPCkX8zzfrr7h0k25oZHl5Z0tf3mPEEIIIaoOCb5dwKiNGDBwf5fGGBTOz34rywqXri07UUqRZ5Tl5Z1Nar6FEEKIqkuiIhfI03kYlIE7ategV1tv4ncfd+pUcX+ucOn6zLcRWWTH2aTsRAghhKi6JPh2AaM24ma+CTLcvym/nbvKnqMXnXdCywqXrl5eHvuVFy2lEcqSiRcOIcG3EEIIUXVJ8O0CRm1EYQpAB/k2wt3NwMpUJ5aeWG64dHHw7WaQ5eVdQWq+hRDF6d+/P+vXr7fbNmfOHJ588kkA0tLSuOuuu+jQoQNt27bl1VdfxWj+exETE0ODBg0ICAiw/qSnpxd7vsGDB3PhwoVyjzcmJoaJEyeW+/jyqOiYhagICb5dwKiN1gC0jmd1+nVowOo9x8lzUk22pezE1Zlvg/ntZAm6pebbOfJP6SiEELaio6OJjY212xYbG0t0dDTZ2dmEhYUxbdo0fv75Z/bu3UtycjJz5861to2KirIuA5+amoqPj0+x51u7di1169Yt1di01tZAvzKVZczlkZub67S+RdVXrbIHcCswaiMGw58BaHhAE75NP8W2X8/Ru23RS/uWmyXYzXNx8K3+DL5tSyMk+Has/FM6CiFuYuumwcm9ju2zkR/c90aRu4cNG8Yrr7xCTk4O7u7uZGZmcvz4cUJCQli0aBHBwcEMHDgQgJo1azJ//nxCQkKYMmVKuYbTqlUrduzYQf369Xn33XdZtGgRYFp+/tlnnyUzM5NBgwbRs2dPUlJSWLt2LRs3buR///d/qVu3Lv7+/nh4eACwatUq/v3vf5OTk4O3tzdLliyhYcOGzJgxg99//53Dhw/z+++/8+yzzzJ58uRCx/PWW2/h4eHB5MmTmTJlCrt372bjxo1s3LiRhQsXsmTJErsxv/7663z22Wc0aNCA5s2bExgYyAsvvEBoaCg9e/Zk06ZNXLhwgYULFxISEkJeXh7Tpk0jISGB69ev8/TTT/PEE0+QkJDAv/71L26//XYOHDjAwYMHy3U9xV+fREUukKfzrFlhgLs7NqSWuxurnDTriXIzn8vFdcG2wTfIPN/OIrOdCCGKU69ePYKCgli3bh1gyno/9NBDKKVIS0sjMDDQrn3btm3Jzs62lmHExcXZlZ1kZ2eX6rwpKSksXryYbdu2sXXrVhYsWMCuXbsAyMjI4KmnniItLQ13d3deffVVfvzxR5KSkuzKWvr06cPWrVvZtWsXI0aM4M0337TuO3DgAOvXryc5OZmZM2dy48aNQscREhJCYmIiADt27CArK4sbN26QmJhI37597dpu376dr776it27d7Nu3Tp27Nhhtz83N5fk5GTmzJnDzJkzAVi4cCF16tRh+/btbN++nQULFvDrr78CsHPnTubOnSuBtyiWZL5dwJIJtvB0d+Men4as3XuSmWG+uFdzcHBqzrLrSsx82/4rNd+OJTdcClGFFJOhdiZL6Ul4eDixsbEsXLiw1MdGRUUxf/78Mp8zKSmJyMhIatUyreg8dOhQEhMTCQsLo2XLlvztb38DYNu2bYSGhtKgQQPr+SzB6tGjR4mKiuLEiRPk5OTQunVra//3338/Hh4eeHh4cMcdd3Dq1CmaNWtWYByBgYGkpKRw6dIlPDw86NatGzt27CAxMZH33nvPru2PP/5IeHg4NWrUoEaNGjzwwAN2+4cOHWrtMzMzE4ANGzawZ88eli1bBsDFixfJyMjA3d2doKAguzELURhJSbqA7WwnFuEBTbmYfYPNB884/HzKcHNkvqXsxDkk+BZClCQ8PJzvv/+enTt3cvXqVWu228fHh5SUFLu2hw8fxtvb26k10JaAvCSTJk1i4sSJ7N27lw8//JBr165Z91lKUwDc3NyKrKuuXr06rVu3JiYmht69exMSEsKmTZs4dOgQnTp1KtO4Lee0PZ/Wmnnz5llr4n/99VdrGU9pn6e4tUlU5GTWADTfpe7Trj6316zunAV3rJlv19YFW4JsS7mJBN/OIbOdCCFK4uXlRf/+/Rk3bhzR0dHW7aNGjSIpKYnvvvsOgOzsbCZPnmwtqShOx44di90fEhLCihUruHr1KleuXGH58uWEhIQUaNezZ09++OEHzp07x40bN/jyyy+t+y5evEjTpk0B+OSTT0r1XIsay9tvv03fvn0JCQnhgw8+oGvXrgWmvg0ODmbVqlVcu3aNrKwsVq9eXWLfgwYN4v3337eWvRw8eJArV66Ue6zi1iNRkZMVVfdc3c3AfX6N+Tb9FFdzHHxXtCXL7uIVLqXm2zWk5lsIURrR0dHs3r3bLvj29PQkPj6eWbNm0b59e+rXr09wcDCjRo2ytslf871lyxbOnj1b7CxLSim6devG2LFjCQoKomfPnowfP56uXbsWaNu4cWNmzJhBr169CA4OtstGz5gxg+HDhxMYGEj9+uWfkCAkJIQTJ07Qq1cvGjZsSI0aNQr9INCjRw/CwsLo0qUL9913H35+ftSpU6fYvsePH4+Pjw/dunXD19eXJ554QmY3EWWjtb5lfgIDA7WrXc+9rn1jfPWCPQsK7Pvpl7O65Uur9YpdRx16zpxjx3R6h476/JdfOrTfknyW/pn2jfHVf2T/obXWOu5AnPaN8dWnr5x26Tj+6iZ9P0k/uPLByh6GEKII6enplT2EUlu+fLlu3bq1zszMLLbdqlWr9Ny5cwtsz83N1fXq1dM5OTnOGqLTXb58WWut9ZUrV3RgYKBOSUmp5BGJqqiw//fADl1IPCo3XDqZdZVHCq7yGNSqHo1uq8Gq3ccJD2jquJNW0jzflhsrpebbuaTsRAjhKBEREURERJTYbsiQIYVu79y5M+PHj6d69eqOHprLPP7446Snp3Pt2jXGjBlDt27dKntI4i9Ogm8nK27GD4NB8YB/Y2K2ZHLhag51a7o75qSqcla4lLIT15AbLoUQN4sDBw5U2rnPnTvH3XffXWD7999/j7e3d6n7+fzzzx05LCFKJMG3k5WU/Q3zb8qCxF9Zt+8k0UEtHHLOSlvhUmY7cQmp+RZCCPD29iY1NbWyhyFEmUlU5GQlBaC+TW+jTf1axKc6cNYTy1SDMs/3X5JSSoJvIYQQooqS4NvJSiq9UErxgH8Ttv56jlOXrhXapqwqfZ5vJPPtTG7KTWq+hRBCiCpKoiInK032NyygCVrjuOXmK3uFS6PUfDuTQRmKnfJLCCGEEDcviYqczBJ855/Y31bbBl50bnKbw4Jva+a7smq+kbITZ5LZToQQxenfvz/r16+32zZnzhyefPJJANLS0rjrrrvo0KEDbdu25dVXX7UmTWJiYmjQoIHdPN/p6elOHW98fDxvvPEGACtWrHD6+YSobBJ8O1lpA9DwgCbsPnqRzLMOWCWrsspOkBUuXUFuuBRCFCc6OprY2Fi7bbGxsURHR5OdnU1YWBjTpk3j559/Zu/evSQnJzN37lxr26ioKOvS6ampqfj4+DhtrLm5udbxgATf4tYgUZGTlTYAHdKlCeCg0hPLbCeuLjuxlLuYSyIk+HYOmWpQCFGcYcOGsWbNGnJycgDIzMzk+PHjhISE8PnnnxMcHMzAgQMBqFmzJvPnz+ett94q9/m8vLyYMmUKnTt35u677+bMmTMALFiwgB49euDv78+DDz7I1atXARg7dix///vf6dmzJy+++CIxMTFMnDiRLVu2EB8fz9SpUwkICOCXX36xm3M7IyND5uAWfwky1aCTlbbuuUldT4Ja1WPl7uNMvOvOYstUSmI9tpIz33k6D4Wq0HMRBUnwLUTV8Z/k/3DgD8fOhd2xXkdeCnqpyP316tUjKCiIdevWER4eTmxsLA899NtlItAAACAASURBVBBKKdLS0ggMDLRr37ZtW7Kzs7lw4QJgWl4+KSnJuv+nn37C09OzyPNduXKF7t27M3v2bF577TVmzpzJ/PnzGTp0KBMmTADglVdeYeHChUyaNAmAo0ePsmXLFtzc3IiJiQGgd+/ehIWFMWTIEIYNGwZAnTp1SE1NJSAggMWLF/Poo4+W/YIJcZORlKSTlSX7GxbQhEOns9h/4nLFTmrNfLu2LthSWmOb+ZZ6b8eTmm8hRElsS08sJSellb/spLjAG0zfekZFRQHw8MMPWwP3ffv2ERISgp+fH0uWLCEtLc16zPDhw3FzK/nvw/jx41m8eDF5eXnExcUxcuTIUj8PIW5Wkvl2srLcdDjYrzEz4tOI330cnya3lf+k1hUuXTsjhiXDbVvzLSUnjic130JUHcVlqJ0pPDycKVOmsHPnTq5evWrNdvv4+LB582a7tocPH8bb25u6des65NyWvwVjx45lxYoV+Pv7ExMTQ0JCgrVNrVq1StXXgw8+yMyZM7nrrrsIDAws08qVQtysJDJysrJkvuvVcqdPu/qs2n0cYwUCZ6UUGAxoY+Vkvm0X2XEzSObb0aTsRAhREi8vL/r378+4cePsst6jRo0iKSmJ7777DoDs7GwmT57MzJkzS+yzY8eOhW43Go0sW7YMMC3V3qdPHwAuX75M48aNuXHjBkuWLCnVuGvXrs3ly39++1ujRg0GDRrEk08+KSUn4i9Dgm8nK+tc1+EBTTh2IZudv5+v2IkNhkrLfFsCQ0vNt3AsCb6FEKURHR3N7t277YJvT09P4uPjmTVrFu3bt6d+/foEBwczatQoa5u4uDi7qQa3bNnC2bNni1xfoFatWiQnJ+Pr68vGjRuZPn06AK+//jo9e/YkODi4yMA9vxEjRvDWW2/RtWtXfvnlF8D0gcFgMFhvEhWiqpOyEycr61zX9/g0wqPaXuJ3H6d7q3rlPq9SCm6GzLfUfDuc1HwLIUojIiKi0IDZ19eXTZs2Aaap/Z577jlGjhxJy5YtGTt2LGPHji1wzOrVq3n66aeLPNe7775bYNuTTz5pnVvcluUGSwvbcwYHBxeYajApKYlHH320VDXiQlQFEnw7WWkW2bHl5VGNAZ0asmbPCaYP8aGaWzm/nHBzQ7t4kZ38mW+jNlqnHxSO46bcZIVLIYRDREREEBERUWK7IUOGuGA0BUVGRvLLL7+wcePGSjm/EM4gkZGTlWeVxwf8m3DuSg4//nKu/Cc2GMDF83xbnqPtDZeS+XY8pZRkvoUQN42srCyn9b18+XL27NlD/fr1nXYOIVxNgm8nK2vNN0BohwbUrlGN+NTyL7ijDAbXz/Ot7BfZkZpv53BTbmi0ZL+FEEKIKkiCbyezBEhlCb5rVHfj3s6NWJ92kms3ypnhNBhcv8KlKri8vGS+Hc9yneWmSyGEEKLqkeDbycqT+QbTgjtZ13PZdOB0uc6rDAZwcc13YYvsSM2340nwLYQQQlRdEhk5WXlqvgF6tfGmvpcH8bvLWXpSCfN8F7rIjrzFHC7/NwxCCCGEqDokMnKysiyyY6uam4EhXRrz/YHTXL52o+wndnP9PN/WzDd/1nzLCpeOl39KRyGEEEJUHRIZOVl5y07ANOtJTq6RDWmnynysUpWY+Taf12iUFS6dQcpOhBDF6d+/P+vXr7fbNmfOHOuc22lpadx111106NCBtm3b8uqrr2I0lynGxMTQoEEDu0V28s+7nZ+Xl5dznkgRpk+fbl2hszCtWrXi7NmzBbb37t0bgMzMTD7//HOnjU+Ikkjw7WTlzXwDdGtRl2a3e7KyPKUnbm6Vlvk2YrT+K5lvx5OyEyFEcaKjo4mNjbXbFhsbS3R0NNnZ2YSFhTFt2jR+/vln9u7dS3JyMnPnzrW2jYqKIjU11frj4+NT4THl5uZWuA+L1157jQEDBpT5uC1btgASfIvKJ4vsOFl5a77BlEkO82/Ch5sPcy7rOt5eHmU6ljwXZ74pZJEd+XzncJL5FqLqOPk//8P1/Qcc2qdHp440+sc/itw/bNgwXnnlFXJycnB3dyczM5Pjx48TEhLCokWLCA4Oti7VXrNmTebPn09ISAhTpkwp95imTJnChg0baNSoEbGxsTRo0IDQ0FACAgJISkoiOjqa9u3b8+9//5ucnBy8vb1ZsmQJDRo0oE2bNqSmplK3bl0A2rVrx3fffUdoaCgHDx6kevXqXLp0CX9/fw4ePMiECRMYMmQIw4YNK3ZM2dnZDB06lKFDhzJhwgS8vLzIyspi2rRp7N+/n4CAAMaMGUNkZCSPPPIIV65cAWD+/PnWLPlbb73F0qVLuX79OpGRkcycOZNp06bRvHlz64qfM2bMwMvLixdeeKHc10/cWiQycrKKZL7BNOtJnlGzdu+Jsh3o5oZ2cXCWvxY5z5gns504gdR8CyGKU69ePYKCgli3bh1gyno/9NBDKKVIS0sjMDDQrn3btm3Jzs7mwoULAMTFxdmVnWRnZxd7vitXrtC9e3fS0tLo168fM2fOtO7Lyclhx44dPP/88/Tp04etW7eya9cuRowYwZtvvonBYCA8PJzly5cDsG3bNlq2bEnLli0JDQ1lzZo11ucwdOhQqlevXqprkJWVxQMPPEB0dDQTJkyw2/fGG28QEhJCamoqU6ZM4Y477uDbb79l586dxMXFMXnyZAA2bNhARkYGycnJpKamkpKSwubNm4mKimLp0qXW/pYuXUpUVFSpxiUESObb6SpS8w3QsdFttG/oxcrU4zzSq1XpDzQol5ed5M/IyjzfziGZbyGqjuIy1M5kKT0JDw8nNjaWhQsXlvrYqKgo5s+fX+r2BoPBGnw+/PDDDB061K4vi6NHjxIVFcWJEyfIycmhdevW1javvfYajz76KLGxsdZjxo8fz5tvvklERASLFy9mwYIFpR5TeHg4L774IqNGjSqx7Y0bN5g4cSKpqam4ublx8OBBwBR8b9iwga5duwKmgD4jI4PHHnuM06dPc/z4cc6cOcPtt99O8+bNSz02ISQt6WTlWWQnv/CApuz47TzHLhSffbClDG7g4hsuCyyyIzXfTiE130KIkoSHh/P999+zc+dOrl69as12+/j4kJKSYtf28OHDeHt7W8s+Kspy8z1ArVq1rL9PmjSJiRMnsnfvXj788EOuXbsGQK9evTh06BBnzpxhxYoV1uA9ODiYzMxMEhISyMvLw9fXt9RjCA4O5ptvvinVSsCzZ8+mYcOG7N69mx07dpCTkwOY/n6//PLL1tr3Q4cO8dhjjwEwfPhwli1bRlxcnGS9RZlJZORkFc18AzzQpQkAq8py46XBgK6kzLft8vJS8+14+RczEkKI/Ly8vOjfvz/jxo0jOjraun3UqFEkJSVZZwvJzs5m8uTJdqUiRenYsWOh241GI8uWLQPg888/p0+fPoW2u3jxIk2bNgXgk08+sW5XShEZGclzzz1Hp06d8Pb2tu4bPXo0I0eO5NFHHy1xfLZee+01br/9dmtdtq3atWtz+fJlu3E1btwYg8HAp59+Sp75fqlBgwaxaNEisrKyADh27BinT5sWvouKiiI2NpZly5YxfPjwMo1NCImMnKwiN1xatPCuSUDzusSnlj74VgaDy2+4LJD5NsoKl86QfzEjIYQoTHR0NLt377YLvj09PYmPj2fWrFm0b9+e+vXrExwcbFeekb/me8uWLZw9e7bID/y1atUiOTkZX19fNm7cyPTp0wttN2PGDIYPH05gYCD169e32xcVFcVnn31WIIs8atQozp8/b/ccSmvu3LlkZ2fz4osv2m3v0qULbm5u+Pv7M3v2bJ566ik++eQT/P39OXDggDVbP3DgQEaOHEmvXr3w8/Nj2LBh1qC9c+fOXL58maZNm9K4ceMyj03c2qTm28mM2oj7jWoVLr8ID2jCzFXpHDp9mTvvqF3yAQaDy2+4zJ/5NiI1384gN1wKIUojIiKi0IDZ19eXTZs2AbBixQqee+45Ro4cScuWLRk7dixjx44tcMzq1asLzSID1sxwfgkJCXaPw8PDCQ8PL7Rt9+7dCx1rUlISw4YNsyuJiYmJKbQPi8zMTOvvixcvLjDO6tWrs3HjRrtj9uzZY/39P//5j/X3Z555hmeeeabQ8+zdu7fYcQhRFAm+nUx9epgvs97kysEj0KNVufu5v0tjXl+dTnzqcZ4b2KHkA9wMkFc5wbfd8vJS8+1wUvMthHCUiIgIIiIiSmw3ZMgQF4zG3qRJk1i3bh1r1651+bmFcCaJjJzMq83tuLvV4MLqis3zekftGvRq60387uOlqvVVygDGm2CqQQm+HU5qvoUQt4J58+Zx6NAh2rdvX+j+yMhIu/KYgICAAit7CnEzksy3kwVHj+DgS2upeb0UpSIlCPNvwktf7WXP0Yv4Ny/hrnQ3N7SLg29LLbLtVIPVVenmZBWlJzXfQgiBdW5wIaoaSUs6mVu1alwwnMbbvTFndu+vUF/3dm6Mu5uB+FLMeqKUqvTMt9R8O4fUfAshhBBVlwTfLnBHcHMMysDhr7ZUqJ86NavTr0MDVu85Tl5J0wi6uaEraZ5va/BtlJpvZ5BFdoQQQoiqSyIjF2g15G4u3fgD98teFe4rzL8Jpy5dJ/nXP4pveBOscJmnpebbGST4FkIIIaouiYxcwK1aNS66ncHbvRGnd1ZsaqIBnRpS092N+N3Him2nDG6VNs+3bc23BN+OJ7OdCCGEEFWXREYu0jCktan0ZHlyhfrxdHdjoE9D1u49SU5uMZlPg8Hls2FYg2+k5tuZpOZbCFESpRTPP/+89fHbb7/NjBkzHNL3jBkzaNq0KQEBAfj6+hIfH19s+7Fjx1KzZk27VSWfffZZlFKcPXsWgN69e5d43vHjx5Oenl6xwZdBQkICderUsZtNxbIyaGnG62xeXhX/Nr0kFb3mCQkJLp+m0tXvk/KQ4NtF2jxwNxdzzlEjywGzngQ04WL2DRIzzhTZRhlU5We+pebbKfLPKiOEEPl5eHjw9ddfW4NbR5syZQqpqal8+eWXjBs3DmMJN/jfeeedrFy5EjD9bdi4caN1qXmALVtKvifq448/xsfHp2IDL6OQkBBSU1OtPwMGDABKN96qIDc3t9j9Zb3meS6OOwrj7PeJ1rrE93tJJDJyoUvVzuLt3ohTyakV6iekXQNur1mdlcUtN29wq7QVLqXm27ksmW8pOxHi5pe49CDL39np0J/EpQdLPG+1atV4/PHHmT17doF9Y8eOZdmyZdbHlgxqQkIC/fr1Izw8nDZt2jBt2jSWLFlCUFAQfn5+/PLLLwX66tSpE9WqVePIkSO0bt2aGzduAHDp0iW7xyNGjCAuLs56nuDgYKpV+3O2Y9sxhIaGMmzYMDp27MioUaOs3+KGhoayY8cOa/upU6fSuXNnBgwYQHJyMqGhobRp08aaiY+JiWHixInWcwwZMsS66mZpji+OZbxGo5GnnnqKjh07cs899zB48GDrtU1JSaFfv34EBgYyaNAgTpw4YX0eL730EkFBQbRv357ExEQA0tLSCAoKIiAggC5dupCRkQHAu+++i6+vL76+vsyZM6fAWEaMGMGaNWusjy2vb15eHlOnTqVHjx506dKFDz/80HqNQ0JCCAsLKzFItb3mX3zxBX5+fvj6+vLSSy/ZXYvnn38ef39/fvrpJ7755hs6duxIt27d+Prrr63tkpOT6dWrF127dqV37978/PPPgOl1Gjp0KPfeey/t2rXjxRdfLHI8X375Jc899xwAc+fOpU2bNgAcPnyY4ODgAmNeuHAh7du3JygoiAkTJljfD2PHjmXy5Mn07t2bNm3a2P1/eOutt6zX7NVXXwVMq6Z26NCB0aNH4+vry5EjR4q9biWRyMiFGve/E6UUv67cUaF+qrsZuM+vMd+mn+JqThGfWg3K9StcIitcuoLlmsoiO0KI4jz99NMsWbKEixcvlvqY3bt388EHH7B//34+/fRTDh48SHJyMuPHj2fevHkF2m/btg2DwUCLFi0IDQ21BoGxsbEMHTqU6tVNaz20b9+eM2fOcP78eb744gtGjBhR5Bh27drFnDlzSE9P5/Dhw/z4448F2ly5coW77rqLtLQ0ateuzSuvvMK3337L8uXLmT59eonPs7THJyYm2pWd5P8A8vXXX5OZmUl6ejqffvopP/30EwA3btxg0qRJLFu2jJSUFMaNG8c///lP63G5ubkkJyczZ84cZs6cCcAHH3zAM888Q2pqKjt27KBZs2akpKSwePFitm3bxtatW1mwYAG7du2yG0NUVBRLly4FICcnh++//57777+fhQsXUqdOHbZv38727dtZsGABv/76KwA7d+5k7ty5HDxY8gc5gOPHj/PSSy+xceNGUlNT2b59OytWrLBey549e7J79266d+/OhAkTWLVqFSkpKZw8edLaR8eOHUlMTGTXrl289tpr/OMf/7DuS01NJS4ujr179xIXF1dkcBsSEmL9sJKYmIi3tzfHjh0jMTGRvn37Fhjz66+/ztatW/nxxx85cMB+scMTJ06QlJTE6tWrmTZtGgAbNmwgIyOD5ORkUlNTSUlJYfPmzQBkZGTw1FNPkZaWRsuWLUt13Yoii+y4UKv7Qtn37XI8dZ0K9xXm34TPt/3Od/tPE+bfpMB+ZXBz+Tzfhd1wKTXfjic3XApRdYQ8VPjqjK5w2223MXr0aN577z08PT1LdUyPHj1o3LgxAG3btmXgwIEA+Pn5sWnTJmu72bNn89lnn1G7dm3i4uJQSjF+/HjefPNNIiIiWLx4MQsWLLDre+jQocTGxrJt2zZrFrYwQUFBNGvWDICAgAAyMzPp06ePXRt3d3fuvfde69g8PDyoXr06fn5+ZGZmlvg8S3t8SEgIq1evLrKfpKQkhg8fjsFgoFGjRvTv3x+An3/+mX379nHPPfcApnIMy3W1XAuAwMBA6/l69erFrFmzOHr0KEOHDqVdu3YkJSURGRlJrVq1rMclJibStWtXa1/33XcfzzzzDNevX+ebb76hb9++eHp6smHDBvbs2WPN6l68eJGMjAzc3d0JCgqidevWJV4ni+3btxMaGkqDBg0AGDVqFJs3byYiIgI3NzcefPBBAA4cOEDr1q1p164dAA8//DAfffSR9fxjxowhIyMDpZT1WxGAu+++mzp1TLGRj48Pv/32G82bNy8wjkaNGpGVlcXly5c5cuQII0eOZPPmzSQmJlqvqUVycjL9+vWjXr16AAwfPtzuw0ZERAQGgwEfHx9OnToFmILvDRs2WK9vVlYWGRkZtGjRgpYtW/K3v/2t1NesOBJ8u9hl93M0pwPHt+ygSe/u5e4nqFU9Gt1Wg/jU44UG3xgMlbLCpULJbCdOJjdcCiFK69lnn6Vbt248+uij1m3VqlWz1qwajUZycnKs+zw8PKy/GwwG62ODwWBXHzxlyhReeOEFu3MFBweTmZlJQkICeXl5+Pr62u2PiooiMDCQMWPGYDAU/bfBdgxubm6F1iVXr17dev9LUeO0fZ4A165dK9PxFaG1pnPnztZMeH6W89k+v5EjR9KzZ0/WrFnD4MGDi/2AYqtGjRqEhoayfv164uLirN8qaK2ZN28egwYNsmufkJBgDeYdoUaNGri5lZxo+9e//kX//v1Zvnw5mZmZhIaGWveV5jW36N27N4sXL6ZDhw6EhISwaNEifvrpJ955550yjdv2nJZvkrXWvPzyyzzxxBN2bTMzMx16zSQycrGmd3cA4PfVFav7NhgUD/g35oeDp7lwNafAfuVmcHnmG0yBodR8O5dkvoUQpVWvXj0eeughFi5caN3WqlUrUlJSAIiPj7fLQFbU6NGjGTlypF2wb9GyZUtmzZrFU0895bDzFadVq1akpqZiNBo5cuQIyckVm22sMMHBwXz11VcYjUZOnTplrSnv0KEDZ86csStDSUtLK7avw4cP06ZNGyZPnkx4eDh79uwhJCSEFStWcPXqVa5cucLy5csJCQkpcGxUVBSLFy8mMTHRmtEfNGgQ77//vvX1PXjwIFeuXCn03HfffTfHjhU9hXFQUBA//PADZ8+eJS8vjy+++IJ+/foVaNexY0cyMzOt5TlffPGFdd/FixetN9nGxMQUey2KExISwttvv03fvn3p2rUrmzZtwsPDw5o5t+jRowc//PAD58+fJzc3l6+++qrEvgcNGsSiRYvIysoC4NixY5w+fbrcYy2KREYu1uKeEM7nnKHmtboV7ivMvyk38jTf7DtZcKcyuHyFSzBlv6XsxLks11RqvoUQpfH888/bzXoyYcIEfvjhB+sNco7M6I0aNYrz588THR1d6P4nnniCtm3bOux8xQkODqZ169b4+PgwefJkunXrVuY+8td8296YB/Dggw/SrFkzfHx8ePjhh+nWrRt16tTB3d2dZcuW8dJLL+Hv709AQECJM6QsXboUX19fAgIC2LdvH6NHj6Zbt26MHTuWoKAgevbsyfjx4+1KTiwGDhzIDz/8wIABA3B3dwdMU+75+PjQrVs3fH19eeKJJwrNKBuNRg4dOmQtz8hPKUXjxo1544036N+/P/7+/gQGBhIeHl6gbY0aNfjoo4+4//776datG3fccYd134svvsjLL79M165dK/TtQkhICEeOHKFv3764ubnRvHnzAmVJAE2bNuUf//gHQUFBBAcH06pVqwIBen4DBw5k5MiR9OrVCz8/P4YNG2Y3RaajqFvpD3j37t215Q7YyvTTyx/TXHeA+z1oFhJU7n601tz1zg80rlODzyfY1yEdnTKF6z8fpO3aNUUc7Rw9PuvBiI4jeL7784TGhXJXi7uY3qvkm19E6aWfSydqdRRz+8/lrhZ3VfZwhBD57N+/n06dOlX2MCrFsmXLWLlyJZ9++mllD8VlsrKy8PLy4ty5cwQFBfHjjz/SqFGjyh5Wqe3bt49Fixbx7rvvFtjn5+dHfHx8merDbyaW1yY3N5fIyEjGjRtHZGSkU85V2P97pVSK1rpAjbHUfFeCZgN9YH0eR9fuqVDwrZQizL8J723M4NSlazS8rYbNvsopO8mf+ZayE8eTmm8hxM1o0qRJrFu3jrVr11b2UFxqyJAhXLhwgZycHP71r39VqcAbwNfXt9DA+5577sHPz6/KBt5gWhDqu+++49q1awwcOJCIiIjKHhIgwXelaN6/N3tWfUVNbq9wX2EBTZj7fQar95zgsT42/0Hc3Fx+wyVIzbcr5J9VRgghbgaFTUV4K7DUef/VfPvtt5V6/p49e3L9+nW7bZ9++il+fn6l7uPtt9929LAcolIiI6XUcKVUmlLKqJQqcsoPpdS9SqmflVKHlFLTbLYrpdQspdRBpdR+pdRk14zcca56nKee+x0c2VSxVbLaNvCic5PbiN9tv+COMqhKyXwblMEaFGqtpebbCST4FkII8Ve3bds2u9VFU1NTyxR438wqKy25DxgKbC6qgVLKDfgvcB/gA0QrpSxLMY0FmgMdtdadgFinjtYJmg3uAsDRDekV7ivMvwm7j1zgt3M2dzEb3CrlhkuDMlhn4ZDMt3PIbCdCCCFE1VUpkZHWer/W+ucSmgUBh7TWh7XWOZgCbMuttU8Cr2nz+ulaa8fPA+NkzUKC+CPnFF7XC7+7uCweMM/zHW+73LxBgdH1N9MalME6C4fUfDuH1HwLIYQQVdfNHBk1BWzXFz1q3gbQFohSSu1QSq1TSrVz+egc4GqNC9zu3oDfv02sUD9N6noS1Koe8buPWwNfZXCDPMl8/xVZFoaQ4FsIIYSoepwWGSmlvlNK7Svkp+DEkGXnAVwzT9+yAFhUzDgeNwfpO86cOeOAUztOiyEBABz7vqQvAUr2QEATMk5nceCkeT5Kg6FS5oE2KAOaP1eKkppvx5PMtxCiJEopnn/+eevjt99+mxkzZjik7xkzZtC0aVMCAgLw9fUlPj6+2PZjx46lZs2advMlP/vssyilrPOP9+7du8Tzjh8/nvT0ipdqllZCQgJ16tSxm+f7u+++A0o3Xmfz8vKq7CGUaMeOHUyebLotLyEhocS5zm8VTgu+tdYDtNa+hfysLGUXxzDVdVs0M28DUxb8a/Pvy4EuxYzjI611d6119wYNGpT1aThVk97dOXf9JLVzvCvc1/1+jalmUKw0l54oN0PlZb6Nkvl2Jqn5FkKUxMPDg6+//tpucR1HmjJlCqmpqXz55ZeMGzfObhn3wtx5552sXGn68280Gtm4caN1tUOgVEHZxx9/jI+PT4ntHCkkJMTuhr8BAwYApRtvVVCRxW5K03f37t157733AAm+bd3MkdF2oJ1SqrVSyh0YAVg+Xq8A+pt/7wccrITxOUR2zYvUda9P5rqECvVTr5Y7fdrVZ5Wl9KSS5vl2U25oNFprNFqCbyeQzLcQoiTVqlXj8ccfZ/bs2QX2jR071m6lRksGNSEhgX79+hEeHk6bNm2YNm0aS5YsISgoCD8/P+uS4bY6depEtWrVOHLkCK1bt7YuZX7p0iW7xyNGjCAuLs56nuDgYKpV+3O2Y9sxhIaGMmzYMDp27MioUaOs3+KGhoZiWSjPy8uLqVOn0rlzZwYMGEBycjKhoaG0adPGmomPiYlh4sSJ1nMMGTLEOi1gaY4vjmW8RqORp556io4dO3LPPfcwePBg67VNSUmhX79+BAYGMmjQIE6cOGF9Hi+99BJBQUG0b9+exERT6WlaWhpBQUEEBATQpUsXMjIyAHj33Xfx9fXF19eXOXPmFBjLiBEjWLPmzwX1LK9vXl4eU6dOpUePHnTp0oUPP/zQeo1DQkIICwsr8cNMq1atePHFF/Hz8yMoKIhDhw4BsGrVKnr27EnXrl0ZMGAAp06dAkzfijzyyCMEBwfzyCOPkJCQwJAhQ8jMzOSDDz5g9uzZBAQEkJiYWOz75a+uUub5VkpFAvOABsAapVSq1nqQUqoJ8LHWerDWOlcpNRFYD7gBi7TWaeYuw9BMNwAAIABJREFU3gCWKKWmAFnA+Ep4Gg7ROrw7OV9d4sSmQ7S6L7RCfYX5N+G5pbvZ+ft5mroZKmWeb4UiT+dZs7ISfDue1HwLUXVsivmI078ddmifd7RsQ/+xj5fY7umnn6ZLly68+OKLpe579+7d7N+/n3r16tGmTRvGjx9PcnIyc+fOZd68eQWCv23btmEwGGjRogWhoaGsWbOGiIgIYmNjGTp0KNWrVwegffv2xMfHc/78eb744gsefvhh1q1bV+gYdu3aRVpaGk2aNCE4OJgff/yxwPLhV65c4a677uKtt94iMjKSV155hW+//Zb09HTGjBlDWFhYsc+ztMdblpe3+Oqrr2jbtq318ddff01mZibp6emcPn2aTp06MW7cOG7cuMGkSZNYuXIlDRo0IC4ujn/+858sWmSqks3NzSU5OZm1a9cyc+ZMvvvuOz744AOeeeYZRo0aRU5ODnl5eaSkpLB48WK2bduG1pqePXvSr18/uyXmo6KiWLp0Kffffz85OTl8//33vP/++yxcuJA6deqwfft2rl+/TnBwMAMHDgRg586d7Nu3r1QL6NSpU4e9e/fyf//3fzz77LOsXr2aPn36sHXrVpRSfPzxx7z55pu88847AKSnp5OUlISnp6f1w06rVq34+9//jpeXFy+88AJAse+Xv7pKCb611ssxlYvk334cGGzzeC1QYKksrfUF4H5njtFVGgYFkPrFUm5T9Svc18DOjfCotpf41OM8VVmZb4MbRqPRmqmQmm/Hs1xTKTsRQhTntttuY/To0bz33nt4enqW6pgePXrQuHFjANq2bWsN1vz8/Ni0aZO13ezZs/nss8+oXbs2cXFxKKUYP348b775JhERESxevJgFCxbY9T106FBiY2PZtm2bNQtbmKCgIJo1awZAQEAAmZmZBYJvd3d37r33XuvYPDw8qF69On5+fmRmZpb4PEt7fEhICKtXry6yn6SkJIYPH47BYKBRo0b072/6Uv7nn39m37593HPPPQDk5eVZr6vlWgAEBgZaz9erVy9mzZrF0aNHGTp0KO3atSMpKYnIyEhq1aplPS4xMdEu+L7vvvt45plnuH79Ot988w19+/bF09OTDRs2sGfPHmsm/uLFi2RkZODu7k5QUFCpV66Mjo62/jtlyhQAjh49SlRUFCdOnCAnJ8eur7CwsFK930p6v/yVyQqXN4FrXpepf6M9h1d9T5sH7i53P14e1RjQqSFr9p7g79UrL/NtxCiZbyeyXNPKuKFWCFE2pclQO9Ozzz5Lt27dePTRR63bqlWrZq3RNhqN5OTkWPd5eHhYfzcYDNbHBoPBrj54ypQp1gymRXBwMJmZmSQkJJCXl4evr6/d/qioKAIDAxkzZgwGQ9F/G2zH4ObmVmhdcvXq1a3fAhY1TtvnCXDt2rUyHV8RWms6d+7MTz/9VOh+y/lsn9/IkSPp2bMna9asYfDgwcV+QLFVo0YNQkNDWb9+PXFxcYwYMcI6hnnz5jFo0CC79gkJCdZgvjQs18n290mTJvHcc88RFhZGQkKC3c28pe27pPfLX5lERjeBNpFBGLWRU4m/VrivB/ybcDYrh+MXr1VazbdRG60lERJ8O57ccCmEKK169erx0EMPsXDhQuu2Vq1akZKSAkB8fLxD62xHjx7NyJEj7YJ9i5YtWzJr1iyeeuoph52vOK1atSI1NRWj0ciRI0dITk52+DmCg4P56quvMBqNnDp1ylpm0aFDB86cOWMNvm/cuEFaWloxPcHhw4dp06YNkydPJjz8/7N352FR1+vj/5/vmWGRVdlERQUVRcQNFRewLDXLynI3LTU1bbPldKw+LedX51unTqfTadcylzJzyTIrbc/Kfd9w31BRWURB2WHm/ftjmBEEYYAZZrsf18UFzLyXW8K85577db/uYu/evfTv359vvvmG/Px88vLyWLlyJf3796907tixY1mwYAHr1q0zV/SHDBnC7Nmzzf99jxw5Ql5eXqVzAQYOHMjZs2erfM7Uq79s2TL69u0LGKvopgWzn376abV/LhN/f/8KE2+g+t8XVyaZkQMIi+9MVnEagfpQ9PV8xT2gQyj+XjqOXMi3T+VbUTCoUvm2JVlwKYSojaeeeqrC1JMHHniAP//8k65du7Jp06ZaVUFrMmHCBC5dumRuVbjWjBkzKvRM21JiYiJRUVHExsby2GOPER8fX+trmHq+TR/lF6oCjBw5koiICGJjY7n33nuJj48nMDAQT09PVqxYwTPPPEPXrl3p1q1bjZM+li9fTlxcHN26dSM5OZmJEycSHx/P5MmTSUhIoHfv3kybNq1Cy4nJLbfcwp9//smgQYPw9PQEjG0dsbGxxMfHExcXx4wZM6qs6hsMBo4dO0ZQUNWb/l26dIkuXbrwzjvvmBfwvvTSS4wePZoePXoQEmJZ2+ydd97JypUrzQsuoebfF1eluNNb1z179lRNK6UdzZZ/zKNFcXuK+uTT9u4hNZ9QjVlf7iFwyTxGHv6djvuTrRShZUZ9O4pmfs14JfEVkpYm8UyvZ7g39t4GjcHVFZYW0mtxL56If4KpnafaOxwhxDUOHjxIx44d7R2GXaxYsYJVq1axaNEie4fSYHJzc/Hz8yMrK4uEhAQ2bNhAeHi4vcOyWHJyMvPnz+ett96q9FxkZCTbt2+3OMGuLVf6fanq772iKDvK9qSpQHq+HUSbkf0o+CKDjA1naHt3/a41rFtzfv5ctducb1VVpe3Ehkw/U6l8CyEcycyZM/nhhx9Ys6bSnASXdscdd5CdnU1xcTEvvviiUyXeAHFxcVUm3rbmrr8vIMm3wwjt2pFdC/fQWBOGvrQUra7u/2n6tgnmLy/juB5VVSsslrA10/by0nZiO9LzLYRwRO+99569Q7ALU5+3K7JkckxduevvC0jPt0MpDszD36MJJ1b+Uq/r6LQaosMDALiSV1jD0dYllW/bk55vIYQQwnlJZuRA2o3uj0E1cGFL1SuOa6ND88YA/LI/rd7Xqg1T5duUGMqcb+tTFMU40lGSbyGEEMLpSPLtQII7tedC8XmaqOH1nnrSIsgHgC+3nrZGaBbTKlqpfDcAjaKR5FsIIYRwQpIZOZiSxvn4eQRybMWP9bqOojVWnHedymLPmWxrhGbZfRXZXr4hmN5hEEIIIYRzkczIwbQfewMGVc/F7en1u1BZ0uvvqWXBhvpv3mMp2WSnYZjeYRBCCCGEc5HMyME0iWlHZtF5gqhf64miNf6nHdmtOd/vPU/65YZZeGnaZEd6vm3L9A6DEEJURVEUnnrqKfP3b775ZoUtwOvjpZdeokWLFnTr1o24uDi+/fbbao+fPHkyPj4+FXY3fOKJJ1AUxbz5T79+/Wq877Rp0zhw4ED9gq+FP/74g8DAwAqb7Pz666+AZfHamp+fn83vERkZWWGDJlubM2cOn3322XWfHzBgAFXt1zJ06FCys7PJzs7mww8/tGWIViHJtwPSBxfgqwvg6NJ6zL4sqziP7xWBXlVZtOmUlaKrnlbRYkAq37ZmeodBCCGq4uXlxddff22zxOnJJ59k9+7dfPnll0yZMgVDDTsqt2vXjlWrVgHGHRV///138/bkQI27PwJ88sknxMbG1i/wWurfvz+7d+82fwwaNAiwLF5nUNWOl/a4hsmDDz7IxIkTa33emjVraNy4sSTfou46jL8Jvarn0q7Mul+krPLdItCLwR2bsnjLKQpLbF8pVRQFg0G2l7c1WXAphHPI/u44GR/ttepH9nfHa7yvTqdj+vTp5u3Ay5s8eXKFbdJNFdQ//viDG2+8kbvuuos2bdrw7LPPsnjxYhISEujcuTPHj1e+b8eOHdHpdJw5c4aoqChKSkoAuHz5coXvx40bx7Jly8z3SUxMRFduP4vyMQwYMIBRo0YRExPDhAkTzC125auefn5+zJo1i06dOjFo0CC2bt3KgAEDaNOmjbkSv3DhQh599FHzPe644w7zTG5Lzq+OKV6DwcDDDz9MTEwMgwcPZujQoeaf7Y4dO7jxxhvp0aMHQ4YM4fz58+Y/xzPPPENCQgLt27c3b7W+f/9+EhIS6NatG126dOHo0aMAvPXWW8TFxREXF8fbb79dKZZx48axevVq8/em/756vZ5Zs2bRq1cvunTpwkcffWT+Gffv359hw4ZZ9GLmjTfeoHPnziQkJHDs2DHzPR588EF69+7N008/zdatW+nbty/du3enX79+HD58GIA+ffqwf/9+87UGDBjA1q1biY6OJjMz0/wzbNeuHZmZmbz00ku8+eabNcZkMBiYPHkyL7zwAnC1Qv/ss89y/PhxunXrxqxZs8jNzWXgwIHEx8fTuXNn8wtAgM8//9z8854xYwZ6vZ45c+Ywa9Ys8zHX/g5Zi2RGDiiwbRQXis8RrDSrc+uJoin7T2swMCUpikv5JXyzq/4jDGuiVbToVb35f5bSdmIbsuBSCFGTRx55hMWLF5OTk2PxOXv27GHOnDkcPHiQRYsWceTIEbZu3cq0adOq3BRly5YtaDQaWrVqxYABA8xJ4NKlSxkxYgQeHsYN39q3b09mZiaXLl1iyZIljBs37rox7Nq1i7fffpsDBw5w4sQJNmzYUOmYvLw8br75Zvbv34+/vz8vvPACv/zyCytXruQf//hHjX9OS89ft25dhbaTa1+AfP3116SkpHDgwAEWLVrEpk2bACgpKWHmzJmsWLGCHTt2MGXKFJ5//nnzeaWlpWzdupW3336bl19+GTC2XDz++OPs3r2b7du3ExERwY4dO1iwYAFbtmxh8+bNzJ07l127dlWIYezYsSxfvhyA4uJifvvtN26//XbmzZtHYGAg27ZtY9u2bcydO5eTJ41rwHbu3Mk777zDkSNHavxZBQYGsm/fPh599FGeeOIJ8+Opqals3LiRt956i5iYGNatW8euXbv45z//yXPPPVcptvPnz3P+/HkSEhK49957Wbx4MQC//vorXbt2JTQ0tMZYTD+7CRMmEB0dzSuvvFLhuddff522bduye/du/vOf/+Dt7c3KlSvZuXMna9eu5amnnkJVVQ4ePMiyZcvYsGEDu3fvRqvVsnjxYkaOHMnKlSvN11u2bFm1v6t1JTtcOihDcBE+uf4cXvw9sZPqsN+8xpj0qnoDvaNCiW0WwPwNJxnbq6VNd7zUoEFFlcq3jUnlWwjn0PjOtna7d0BAABMnTuTdd9+lUaNGFp3Tq1cvmjVrBkDbtm255ZZbAOjcuTNr1641H/e///2Pzz//HH9/f5YtW4aiKEybNo033niDu+++mwULFjB37twK1x4xYgRLly5ly5Yt5ipsVRISEoiIiACgW7dupKSkkJSUVOEYT09Pbr31VnNsXl5eeHh40LlzZ4t2ZbT0/P79+/P9999f9zrr169n9OjRaDQawsPDuemmmwA4fPgwycnJDB48GAC9Xm/+uZp+FgA9evQw369v3768+uqrpKamMmLECKKjo1m/fj3Dhw/H19fXfN66devo3r27+Vq33XYbjz/+OEVFRfz444/ccMMNNGrUiJ9//pm9e/eaK/E5OTkcPXoUT09PEhISiIqKqvHnBHDPPfeYPz/55JPmx0ePHo22bLJaTk4OkyZN4ujRoyiKYn7HY8yYMdxyyy28/PLLLF++nFGjRgEwZcoU7rrrLp544gnmz5/P/fffb1EsADNmzGDMmDEVXsxcj6qqPPfcc/z1119oNBrOnj1Leno6v/32Gzt27KBXr14AFBQUEBYWRmhoKG3atGHz5s1ER0dz6NAhEhMTLY7NUpJ8O6iYewdz8cOjXN57sW4X0JQl2KoBRVGYkhTF37/cw4ZjWSRFh1gv0Eq3rbjJjiTftiE930IISzzxxBPEx8dXSG50Op25R9tgMFBcXGx+zsvLy/y1RqMxf6/RaCr09j755JP8/e9/r3CvxMREUlJS+OOPP9Dr9cTFxVV4fuzYsfTo0YNJkyah0Vz/34byMWi12ip7ij08PMyFpOvFWf7PCVBYWFir8+tDVVU6depkroRfy3S/8n++8ePH07t3b1avXs3QoUOrfYFSnre3NwMGDOCnn36qUKlVVZX33nuPIUOGVDj+jz/+MCfzlihfsCv/dflrvPjii9x0002sXLmSlJQUBgwYAECLFi0IDg5m7969LFu2jDlz5gDQsmVLmjZtyu+//87WrVvNVXBL9OvXz1zF9vb2rvbYxYsXk5mZyY4dO/Dw8CAyMpLCwkJUVWXSpEm89tprlc4ZN24cy5cvJyYmhuHDh9ukYCmZkYPyj4wgs+QcQUoz9IXFNZ9wDaWs8o3eWIG+s2szQvw8mW/jsYOm7eWl8m1bUvkWQlgiKCiIMWPGMG/ePPNjkZGR7NixA4Bvv/3WXKW0hokTJzJ+/PgqK5mtW7fm1Vdf5eGHH7ba/aoTGRnJ7t27MRgMnDlzhq1bt1r9HomJiXz11VcYDAbS09PNPeUdOnQgMzOzQhtK+d7nqpw4cYI2bdrw2GOPcdddd7F371769+/PN998Q35+Pnl5eaxcuZL+/ftXOnfs2LEsWLCAdevWmSv6Q4YMYfbs2eb/vkeOHCEvL6/Kew8cOJCzZ6tuTTX16i9btoy+fftWeUxOTo55Ae3ChQsrxfbGG2+Qk5NDly5dzI9PmzaNe++9t0IF3RJTp05l6NChjBkzptILJX9//wpTdXJycggLC8PDw4O1a9dy6tQp8593xYoVZGRkAHDx4kXzc8OHD2fVqlU1tkfVh2RGDkwNLcFH58ehL76r/cllVQVT77WXTsu9fVrz+6EMTmTmWjPMirctq3xLz7dtSc+3EMJSTz31VIWpJw888AB//vknXbt2ZdOmTbWqgtZkwoQJXLp0ydyqcK0ZM2bQtm3DtOIkJiYSFRVFbGwsjz32GPHx8bW+xrU93+UXqgKMHDmSiIgIYmNjuffee4mPjycwMBBPT09WrFjBM888Q9euXenWrVuNE1KWL19OXFwc3bp1Izk5mYkTJxIfH8/kyZNJSEigd+/eTJs2rULLicktt9zCn3/+yaBBg/D09ASMyW1sbCzx8fHExcUxY8aMKqv6BoOBY8eOERQUVGVcly5dokuXLrzzzjtVLuAFePrpp/m///s/unfvXukeo0aNYunSpYwZM6bC48OGDSM3N7dWLScmf/vb3+jevTv33XdfhXc3goODSUxMJC4ujlmzZjFhwgS2b99O586d+eyzz4iJiQEgNjaWV155hVtuuYUuXbowePBg84LYJk2a0LFjR06dOkVCQkKtY7OE4k4bdfTs2VOtaj6ko7py5ixZ7x0mrTSFPm9NqdW5Od9+y7mnn6HtTz/i2bo1AJlXikh8/XfGJbTkn3fF1XCFupn15ywOXTzES/1eYvKPk5l7y1z6NOtjk3u5s1u/upXuYd15rX/lt8yEEPZ18OBBOnbsaO8w7GLFihWsWrWKRYsW2TuUBpObm4ufnx9ZWVkkJCSwYcMGwsPD7R2WxZKTk5k/fz5vvfVWg953+/btPPnkk+ZpL86uqr/3iqLsUFW157XHSs+3A/Nv2YLDJWsJ1jajpLAQjxp6myooa/dQy70iDPX3Yli35ny5PZWnBncg0MfD2iFX7vmWN1dsQnq+hRCOZubMmfzwww+sWVOPPSqc0B133EF2djbFxcW8+OKLTpV4A8TFxTV44v36668ze/bsWvV610VxqZ5ivYqfl2Olu44VjaisqZ5G2X4cXvQdcQ+Mtvg00w6XXLPxwZTEKFbsSGXZ9tNMv8H6b/2ZepGl59u2pOdbCOFoqhpF6A5Mfd7Ccs8++yzPPvvsdZ9/5JFHKo2YfPzxx2vVolJcqudEZh4q0KGpPxqN7Sa91ZYk3w6u48QhZL59gNyDtezT1lSdfMc2D6Bvm2A+3XiKKYlR6LTWTY5NSaF5e3mN9HzbgvR8CyGEcFUffPBBvc4vKtVzMjMPvaoSFeLrUIk3yIJLh+fbPJzMknOEaJtTUm5MUo00ldtOTKYkRXE2u4CfD6RbK0wzUzuEjBq0LdNUGSGEY5K/n0LYR1GJseKtV1XahPji42n7OnNt/75LZuQENM30eGt9OLiw5i1vTZTrVL4Bbo4Jo3WwD/PXW3/s4LWVb+n5tg2pfAvhuLy9vcnKypIEXIgGVlSi58SFPFQV2oT40aiBEu+srKwaZ46XJ20nTiBm4m1kvLWP/CP5lp9UbofLa2k1CpP7RfLydwfYcyabri0bWyvUqz3fhrKe72o2UhB1JwsuhXBcERERpKamkpmZae9QhHAbJXoDF3KLQVUJ8fciJafh8g9vb2/zrqyWkOTbCfiGh3Gh5BwhumaU5BXg4WvBNsHldrisyuieLXnr5yPM33CSd8ZVnhlaV+bKN2U93zLn2yZkwaUQjsvDw8PirbuFEPV3NP0K983dAsCSB3oT3dTfzhFVT8qSTkLbAry1PhxYuMqi4xVtxR0ur+XnpWNMr5as3nuetJxa9JLXQKNoMCA937YmybcQQggBh9OuMO7jzWgUWDq9j8Mn3iDJt9PoeP/tlBiKKTxuYaJsnvN9/Z7Dyf0iMagqizanWCFCI42iwWAoN2pQfsVsQnq+hRBCuLsD5y5zz9zN6LQKS6f3oV2Yn71DsohkRk6iUXAQmSVnCdE2p+hKzWMHlRraTgBaBvkwOLYpX2w5TUGxdRI5c+W7bKGn9HzbhvR8CyGEcGfJZ3MY/8lmvHQalk3vS5tQ50i8QZJvp+LRSoOXtpFlU0/MCy6rT6qnJEZxKb+Eb3aftUaIaJCe74YgbSdCCCHc1b7UHCZ8sgVfTx3LpvclMsTX3iHViiTfTqTjpDsoNhRRdKKk5oNNle9q2k4AEqKC6NQ8gPnrT1plLJZGo0Fv0EvPt41J8i2EEMId7T6TzfhPNuPvrWPp9D60Cvaxd0i1JpmRE/EOasyFknOE6ppTlJNT7bHmBZeG6ivfiqIwJTGKoxm5rD92od4xajC2nZhHDUrybRPS8y2EEMLd7Dx9ifs+2UITH0+WTu9DyyDnS7xBkm+n49Fai6fWmwMLvq/+QAsWXJrc0bUZIX5eVtl0x1SRVTHeV9pObEOraGUDDyGEEG5jx6mLTJy3lSA/Y+Id0cQ5E2+Q5NvpxN5/B8X6QkpO1VDR1pp2uKy5Ouql03Jfn9asPZzJ8cyaF3NWx7zJjiqVb1tSFEUq30IIIdzC1pPGxDvU34tl0/vSvLEF+504MMmMnIxXYCCZpecI8WhO4cXs6x+oMVW+LesLntCnFZ5aDQs3pNQrPlOlW9pObEumnQghhHAHm45nMWn+VsIDvVk2vQ/hgZZv4+6oJDNyQt5tPfDUeHFgYTWtJ6YRfxYm3yF+XtzVrTkrdqSSk2/Bgs7rUBTjQs8Sg/Eaknzbhiy4FEII4eo2HrvA/Qu3EtGkEUum9yEswPkTb5Dk2ynFTBpGkb6A0jPXT76UWibfAPcnRlFQomfpttN1js1U+S41lFb4XliXLLgUQgjhytYdzeT+hdtoHeRrTLz9XSPxBkm+nZKXvx8X9OcI9WhBQcZ1JpSY53xbnnzHNg+gb5tgPt2YQmktzivPVPk2Jd9S+bYNqXwLIYRwVX8czmDqp9uJCvHliwd6E+LnZe+QrEoyIyfVqJ03HhpPDn66psrnLdnhsipTk6I4l1PIT/vT6xTXtZVvSb5tQ3q+hRBCuKK1hzKY/tkO2oX6seSBPgS7WOINknw7rY6T7qJQn4/+nFL1AVrLdri81s0xYbQO9mH+hrqNHTQl29LzbVtS+RZCCOFqfj2QzvRF2+kQ7s8XD/Smia+nvUOyCcmMnJSHbyMu6M8T4tGcvLSMygcolu1weS2NRuH+fpHsOHWJ3WeqmaZyvfPLkm3p+bYt6fkWQgjhSn7an8ZDi3cQ2yyAz6f2prGPaybeIMm3U/Pp4IOHxpNDn/1Q6TlLd7isyqieLfH30tVp0x2pfDcMqXwLIYRwFT/sO88ji3cS1yKQRdN6E+jjYe+QbEoyIyfWcdIwCvX5GM5XUV3WWL7D5bX8vHSM7dWSNfvOcz6noFbnXlv5luTbNqTnWwghhCv4fu85Hl2yi64tG/PZlAQCvF078QZJvp2ah7d32dST5uSdS6vw3NVRg3VrTZjULxKDqrJo06lanWdqM5HKt21J5VsIIYSzW7X7LI8t2UV8q8Z8OiUBfzdIvEGSb6fnFxuATuPBwc9+rPhELXe4vFbLIB9uiQ3ni62nKSi2PIEvP2pQ+r1tR3q+hRBCOLOVu1J5ctluekUGsfD+BPy8dPYOqcFI8u3kOtx7OwWluZB+zS+tqfJdx3ndAFOSosjOL2HlrrMWn2MeNaiWStXbhjSKBlWtfUuREEIIYW8rdqTyt+V76NMmmAX398LXjRJvkOTb6Xl4e5NlME49uXLmapJsbjupR2tCr8gmxLUIYP6GkxYnegpl28vrSyT5tiGpfAshhHBGy7adZtaKPSS1C2HepF74eLpX4g2SfLuEgM5N0Gk8OLTol6sPamu/w+W1FEVhSmIUxzJyWXf0OjtpXkOrubrJjiTftiMLLoUQQjibL7ac5pmv9tE/OpS5E3vSyNM921MlO3IBHe65nfzSXJTMqwsVFPOc7/olaLd3aUaov5fFm+6YKt+lqvR825JUvoUQQjiTRZtP8dzKfdzUIZSP7+uBt4f75giSfLsArbcnF9XzhHo250pKatmDZb/U9ayOeum03NenNX8czuRYRm7NsShS+W4IWkUrPd9CCCGcwsqffuPlb3YzqGMYc9w88QZJvl1GYNdgtIqOQ5+XtZ6UJb71aTsxGd+7FZ46DQs31lz9Lr/JjiTftqMoilS+hRBCOLyFv2zjjo2j+VfzTXw4oQdeOvdOvEGSb5fRfvzt5JVeRpPlBYCiKWs7sUJfcIifF3d3a85XO86SnV9c7bHlN9mR5Nt2pOdbCCGEI1NVlTd/Oszva3/BQ9EzKugonjrJC0CSb5eh1em4qKZrnHajAAAgAElEQVQR4tmcnOMnrbLgsrz7E6MoKNGzdNuZao8rn3xLz7ftyCY7QgghHJXBoPLydwd4f+0xxrXKAUBzegvoS+0cmWOQ5NuFNIkPQ6toObx4rdUWXJp0bBZAv7bBfLoxhZJqEnqpfDcMjaJBRZW+byGEEA5Fb1B59uu9LNyYwtSkKG4LvWh8ovgKpO2xb3AOQrIjFxI99jbySi+jvdToauW7jtvLV2VKYhTncwr5aX/adY+Rnu+GYfrZSt+3EEIIR1FcauCxJbtYvj2VxwZG88LtHVHSk6FZN+MBKRvsG6CDkOzIhWh1Oi6SRqhnMy4dPWF80GC9yujNMWFEBvswf/31F15K5bthmFp6pPIthBDCERSW6Hnw8x2s3nee54bG8LfB7VH0xXDhCLQbCMHRkLLe3mE6BMmOXExwr3A0ipajy/4CRQErVr41GoX7E6PYeTqbXacvVXmMKSksMZRIz7cNmdqKpPIthBDC3nKLSrl/wTbWHs7gX8M7M/2GtsYnMg+BoRSaxkFkIpzeZNW8xFlJ8u1i2o4cQm5JDh7ZvqDRoFqp59tkVI8I/L11LNiQUuXzpqRQKt+2ZXphI4suhRBC2FN2fjH3frKFrSkX+d+Ybozv3erqk+n7jZ/DO0Nkfyi6DGl77ROoA5HsyMVodTouadIJ8WxGvn84WGnaiYmvl45xvVqyZt95zucUVL5/ucq3JN+2Y/rZSvIthBDCXjKvFDHu480cOHeZDyfEc3f3FhUPSEsGXSMIagOtE42PSeuJJN+uKCShBRpFw5V2A6wy5/taE/tGYlBVPtt0qtJz0vPdMGTBpRBCCHs6l13A2I82cSorn3mTezKkU3jlg9L3QVhH0GghoBkEtZXkG0m+XVKb4YO4UnKJgOB2VpvzXV7LIB+GdArniy2nKSiumPzJnO+GIZVvIYQQ9pJyIY/RczaReaWIRVMT6B8dWvkgVTVWvsPjrj4WmQSnpO9bkm8XpNXpyNZkEOLdjOyc6nekrKspSVHkFJTw9a7UCo/LqMGGYXphI5VvIYQQDelw2hVGf7SJ/OJSlkzvQ8/IoKoPvJIGBRehaeerj0X2h6IcSNvXMME6KMmOXFRYYis0ioaMHF+bXL9n6yZ0bhHI/PUnMZQbZyhtJw3D9LOVUYNCCCEayt7UbMZ+vAkFWD6jL3EtAq9/cHqy8XPTTlcfi5S+b5Dk22VF3nEz2cVZNPZsTWlW5d7s+lIUhSlJkRzPzGPdsQvmxzVlv1IqqrSd2JD0fAshhGhIW09eZPzcLfh56VjxYD+im/pXf4Kpul0++Q5oblx8ecq9N9uR5NtFaXU6cjQZNPEK5cBr/7NJf9XtnZsT6u9VYdMdjebqr5RUvm1HRg0KIYRoKH8czmDi/C00DfBixYP9aBXsU/NJ6ckQ2AoaNa74eGSSMfl2475vyY5cWOdHh1FsKKKgsCus/5/Vr++p0zCxT2v+PJLJsYwrwNXKN0jybUuy4FIIIURD+GHfeR74bDttQvxYNqMv4YHelp2Yvr/iYkuT1klQmHO1LcUNSXbkwgIiw0krTCXcN5L0bxfDmW1Wv8f43q3w1GnMm+6UT7gl+bYdSb6FEELY2lc7Unnki510bhHIkul9CPHzsuzEkkK4cLRiy4mJue/bfVtPJDtycaE3tkGr6Diadx98NdX4atOKgv28GN6tBV/tTCU7v7hCwi0937YjPd9CCCFsadGmFJ76cg992wazaGpvAht5WH5y5kFQ9cZt5a8VGAFNotx60aUk3y4ueuQNZBSeI9Q3huILabD6KePsTSu6PymSwhIDS7aeqZBwS+Xbdkw/Z5l2IoQQwtpm/3GcF1ftZ1DHMOZN6oWvl652Fyi/rXxVIhPL+r7d891byY7cQGlwKb46f3YVPQ37voQ9S616/ZjwABLbBfPZppQKu9lL8m07iqIAUvkWQghhPaqq8p+fDvHvHw9xZ9fmzL63B94edXgXOy0ZPHyMFe6qRPaHwmzI2F+/gJ2UZEduoNuTI8grvYJHcUtonQhr/g5Zx616jymJUZzPKWTDsSzzY5J8245MOxFCCGFNBoPKy98d4IO1xxnXqyVvj+2Gh7aO/46nJ0NYLGiuc35r9573LdmRG/D0a0SmPo2wRs056vUQaHTw1TQotd7ulzd1CCMy2IcVO86ZH5Oeb9uRnm8hhBDWojeoPPPVXhZuTGFqUhSvjeiMVqPU7WKqapzxXdWkE5PGLaFxa0m+hWuLntAPvVpK5uYsGPYenNsJa1+12vU1GoX7E6PYf/bK1cek8m0z0vMthBDCGopLDTy2ZBdf7kjl8YHRvHB7R3NrY51cPmdsKalqsWV5kf3dtu9bsiM30bRnDGkFqYR7R3DZJwF6TIYN78CJP6x2j1E9IvDzuroaWpJv25GebyGEEPVVWKJnxqLtrN53nueHduTJwe3rl3jD1fnd11tsaRKZBAWXIONA/e7nhCQ7ciONYgPx1Hixb/YPMOQ1CGkPX8+AvAs1n2wBXy8dd3WLMH8vybftSM+3EEKI+sgtKmXygq38cSSTfw3vzAM3tLHOhU3byofFVn9cpPv2fUt25EZipw3lUtEFGpc0oVTjCaPmQcFFWPWo1cYPju3Zyvy19HzbjmyyI4QQoq6y84uZ8MkWtqVc4u2x3Rjfu1XNJ1kqPdnYz+0dUP1xjVsZP05J8i1cmE6n44p3DoGewez78DvjW0KD/wlHfoBtn1jlHi2a+Jq/1kteaDOy4FIIIURdZF4pYtzHmzl47jKzJ8RzV7cW1r1B+v6aW05MIvsbd7p0s75vuyXfiqKMVhRlv6IoBkVRelZz3K2KohxWFOWYoijPlnt8oKIoOxVF2a0oynpFUdo1TOTOrfOjt1OkL6TkWJ7xgd4PQvQt8NPzV4fi10P5aveR9Lx6X09UTSrfQgghautsdgFjPtrEqax85k3uyS2dwq17g5ICyDpW82JLk9aJxnfgMw9aNw4HZ8/KdzIwAvjregcoiqIFPgBuA2KBexRFMTURzQYmqKraDfgCeMG24boG/xahpBWnEt4ogtT1+0BR4K4PwTsQVkw1/sWph/ILNY5n5HPmYn59QxZVkJ5vIYQQtXHyQh5j5mziwpUiFk1NoH90qPVvknEAVAM07WTZ8ZFJxs8pG6wfiwOzW/KtqupBVVUP13BYAnBMVdUTqqoWA0uBu0yXAEwNRYHAuSrOF1VoNqQjChpSVmwzPuAXCsPnGF95/vR8va5dvvKtoOHfPx6q1/VE1aTyLYQQwlJ7U7MZNXsjBSV6lkzvQ8/IINvcKM006cTCyneT1hDYClLW2SYeB+XoPd8tgDPlvk8tewxgGrBGUZRU4D7g9QaOzWm1GdqHjMKzNNU1ozC7bC53u4HQbyZsnweHVtf52gpXK98xzQL5fu95dp6+VN+QxTWk51sIIYQl/jqSybiPN+PtoWXFg32JaxFou5ul7wdPP2gcafk5kYnGed9utG+FTZNvRVF+VRQluYqPu2o+u0ZPAkNVVY0AFgBvXSeG6YqibFcUZXtmZqYVbusaDOEKjXR+7P7fN1cfvPkf0KwrrHrEOCS/DrSaq5XvTs0DCfX34pXvD8hmMFYmbSdCCCFqsmr3WaYs3EarIB++frgfbUL9bHvDmraVr0pkEuRnQab7vFNu0+RbVdVBqqrGVfGxysJLnAValvs+AjirKEoo0FVV1S1ljy8D+l0nho9VVe2pqmrP0FAb9Dc5qa5PDie3JAfvHO+rD+o8YeR847bzX08HQ+2rqppyv1JeWh1/v6U9O09ns3rfeWuELcpI24kQQojqfLLuBI8v3U2P1k1Y/mBfmgZ413xSfaiqse3E0pYTE3Pft/uMHHT0tpNtQLSiKFGKongC44BvgUtAoKIo7cuOGwy411LZevL09uICGYR4h3Poi9+uPhHSDoa+Yey/2vB2ra9bfmMdrUbLqB4tiQn3598/HqKoVFokrEWSbyGEEFUxGFReW3OQV1Yf5La4cD6dkkCAt0fNJ9ZXzhkoyrF80olJ49YQEOFWfd/2HDU4vKxfuy+wWlGUn8oeb64oyhoAVVVLgUeBnzAm18tVVd1f9vgDwFeKouzB2PM9yx5/DmcWc/+NlBpKuLT5TMUnuk2ATiPg91chdXutrlk++dYoGrQahRduj+XMxQI+3ZhihagFSM+3EEKIykr0Bv7+5R4++usE9/Vpzfvj4/H2aKAN70zjii2d8W2iKMbqd4r79H3bc9rJSlVVI1RV9VJVtamqqkPKHj+nqurQcsetUVW1vaqqbVVVffWa8zurqtpVVdUBqqqesMefw5mFxLUlrTCVcO+WXDx8+uoTigJ3/A8CWsBXU6HwssXXVBTFvOjS1IKSFB3CTR1Cee/3Y1zMK7bqn8FdmXq+pZdeCCEEQF5RKVM/3c7Xu87y1OD2/POuTmg1Ss0nWotp0klYx9qfG5kI+Rcgs6YheK7B0dtOhI35xYfiofHk4Ce/VnyiUWMYOReyT8Oav9fqmqaqrKbcgovnhnYkv1jPu78drXfM4uo8dal8CyGEyMotYvzczaw/msnrIzozc2B0hX03GkT6PmgSBV7+tT/X3PftHq0nkny7ubjJt5FVlEGQIZTSwmuq0q36wI3Pwt5lsGeZxdc0Jd/lZ35HN/VnXK+WfL75FCcyc60SuzuTaSdCCCEAzlzMZ9ScTRxKu8JH9/VkXEIr+wRSl8WWJk2ijO+2n3KPzXYk+Rbk++bi79GYPe9/U/nJG/4OrfrB6r/BRcs6e0yJYfmZ3wBPDm6Pt4eW135wn3FCtiILLoUQQhw4d5kRszdyMa+YxdN6Mzi2qX0CKc4z5ghNa9nvbaIoxq3mU9a7Rd+3JN+Crk/cTaE+H8OZ0spParQw4mPj56+mgb6kxuuZ3uoqP/MbIMTPi4cGtOWXA+lsPpFlldjdlSTfQgjh3jYdz2LsR5vQaRS+fLCv7XattETGQUC1fFv5qkQmQV4mXDhitbAclSTfAp+QQNKLz9LUuwVnfttR+YDGLeHOd+HsDlj7rxqvZ6p8l598YjI1KYoWjRvxyuoDGAyu/+rWVmTaiRBCuK81+84zaf5WmgZ689VD/WjftA591taUts/4ua5tJ+BW874l+RYAtBrWFYDT3+6p+oBOd0P8RFj/PzjxZ7XXMle+lcrjjbw9tMwa0oHks5dZuets/YJ2Y9LzLYQQ7mnRphQe+WInnSMCWfFgX5o3bmTvkIw7W3oFGGd211VQG/BvJsm3cB8tB/YgvfAsTT1bkJd5qeqDbn0dQqJh5QzIu37bSHWVb4BhXZvTJSKQ//x0mIJiqdzWhekFjiTfQgjhHlRV5b8/H+bFVfsZGBPG51N709jH095hGaXvN7ac1GfCinnet+v3fUvyLcw0rTzw1vqw551vqz7A0xdGzoP8LPj20ev+5TCPGrxO8q0p23gn7XIhn6yT8ex1YXqBI20nQgjh+kr1Bv7v63289/sxxvZsyZx7e9DIs4E2z6mJql5NvusrMgnyMiDrWP2v5cAk+RZmXR8fzuWSS/jl+V3/oGZdYNDLcHgNbPukykOqGjV4rYSoIG7tFM7sP4+TcaWwXnG7I1lwKYQQ7qGgWM+Dn+9k6bYzzLy5Ha+P7IxO60DpW/YpKLpc+23lq9LaPeZ9O9B/PWFvOp2OS5oLBHmFkbzgh+sf2OchaDcYfn4B0g9Uetq0s+X1Kt8mz94WQ4newP9+cf2VzdYmPd9CCOH6svOLuXfeFn47lM4/7+rEU7d0aPjNc2pi2tmyttvKVyW4LfiFu3zftyTfooKODwymxFBM7q7M6x+kKHD3h8bFFV9NhZKCCk+bdrasKfmODPHlvj6RLNt2hsNpV+oduzuRyrcQQri2c9kFjJ6ziX2pObx/TzwT+0baO6Sqpe8HlLptK38tc9/3Bpfu+5bkW1QQ1L4laYVnCPeOIHNPNT1XfmEwfDZkHICfX6zwlKWVb4DHBrbD39uDV9ccrFfc7kZGDQohhOs6kn6FkbM3kpZTyMIpvbi9SzN7h3R96fuMk0o8fa1zvchEyE2DrOPWuZ4DkuRbVNKkT0t0Gg8Of/ZX9Qe2GwR9H4Vtc+HQGvPDlvR8mzT28WTmze3460gmfx6pptouKjD9bFUXrgwIIYQ72p5ykdFzNlFqUFk6ow/92obYO6Tq1Wdb+apE9jd+duG+b0m+RSUx4wdyoTCNEMIoLqhhMeTAf0B4F1j1CFw+B9Q87eRaE/tG0jrYh1dXH6BUL20UljD1/EnlWwghXMcvB9KZ8MkWgnw9+fqhfnRqHmjvkKpXdAUunaz7tvJVCW4Hfk3h1AbrXdPBSPItqlQYWIifRyB73v6m+gN1XjBqPpQWGud/Gwy1Tr49dRqevTWGI+m5LN+eWt/Q3YIsuBRCCNeydOtpZizaTky4Pyse7EvLIB97h1SzjLKWUWuMGTRRFGid6NLzviX5FlXq9rfhFJTmokmz4Bc/JBpu+zec/As2vlPr5Bvg1rhwekU24a1fDpNbVFrXsN2GoigoKJJ8CyGEk1NVlfd+O8qzX+8jKTqULx7oQ7Cfl73Dsow1tpWvSmQSXDkPF11zLxBJvkWVvAP9SC89T5h3C06s3lTzCd3vg9i74fdX0JQWA5b1fJsoisLzt8dyIbeYOX+47iILa9IoGkm+hRDCiekNKv9YtZ///nKE4d1bMG9ST3y9dPYOy3LpyeAdCIEtrXtdc9+3a44clORbXFfkqF6oGDj/86GaD1YUuPMd8G+G5rKxdaQ2lW+Abi0bM6xrc+auO8G57IKaT3BzGkUjPd9CCOGkCkv0zFyyk0WbTzH9hjb8d3RXPBxp8xxLpCUbN9ex9uzxkGjwDZPkW7ifiKTOpBWk0swzgitnLZhE0qgxjPwEbVnlW1OHVq2nb+2ACrz50+Han+xmtIpWKt9CCOGELheWMGn+VtbsS+OF2zvy3NCOaDQOtnlOTQwG47hha/Z7myiKceSgi/Z9S/ItquXZzhdPrTd7319t2Qmt+qDxN84j1Wz9uNIGPDWJaOLD1KQovt51ln2pObUN161I24kQQjif9MuFjJmziR2nLvH22G5M69/G3iHVTXYKFOdaZ1v5qkQmwZVzxmkqLkaSb1GtuIfvJKc4i4DCQEpLLVsIqQkwJt/aM1th4R2Qm1Grez48oC3Bvp68svqAzLGuhiTfQgjhXI6kX2HEhxs5fTGf+ZN7cXf3FvYOqe7M28rbKPlunWT87IKtJ5J8i2rpdDqyPS7RxCuEA3PX1HwCoClbaKlJesK47ezcgVfHEVnA39uDJwa3Z8vJi/xyIL1OcbsD6fkWQgjn8eeRTEZ+uJFivYGl0/twQ/tQe4dUP+nJoGgg1ArbylcltAP4hEjyLdxT54duo9hQRMFBy9pAzKMGW/aGKT+Avhjm3QLHfrX4nvf0akm7MD9e++EQxaVS3a2K9HwLIYRz+HzzKaYs3EaLJo345pFEukQ0tndI9Ze+H4LagqeN5pErirH1JGWDy/V9W5R8K4rytaIotytKLcdXCJcQEBlOWmEq4Y1acn5rzRXsCnO+m3eHB36Dxq1h8RjY9olF99RpNTw3NIaTF/JYvOVUveJ3VYoic76FEMKR6Q0q/+/7A7zwTTI3RIew4qF+tGjcyN5hWUfaPtu1nJhEJsHlVLiUYtv7NDBLk+kPgfHAUUVRXlcUpYMNYxIOKPTGNmgVLceX1Dzz25R8m+d8B0YYK+DtBsHqp+DH58BQc7vETR3CSGwXzDu/HSUnv6Re8bsiqXwLIYTjyisqZcai7cxbf5LJ/SKZO7Enfs40w7s6hZch+5TtFluaRJb1fbvYVvMWJd+qqv6qquoEIB5IAX5VFGWjoij3K4riYcsAhWOIHnkDGYXnCNOGU5xb/QSTKne49PKHe5ZA74dg8wewdAIU5VZ7HUVReH5oLDkFJby/9mi9/wyuRhZcCiGEYzqfU8DoOZv4/VAGLw/rxEvDOqFzthne1ck4YPwc3tm29wmNAZ9gl+v7tvg3QVGUYGAyMA3YBbyDMRn/xSaRCYdTElyKj86fXW99Ve1xGq6zvbxGC7e9DkPfhKM/wYJbIedstdeKbR7AqPgIPt14itNZ+fWK39XIgkshhHA8yWdzuPuDDZzKymPepF5M6hdp75Csz7StvC1mfJenKNA60T2Tb0VRVgLrAB/gTlVVh6mqukxV1ZmAny0DFI6j+5MjyCu9gsfF6t/s0Giuk3ybJDwA45fDxRT4ZCCc213t9f4+pANajcK/f7Rgp003IpVvIYRwLD/vT2P0nE1oFYUVD/Xjppgwe4dkG+nJ4N0YAhpgVGJkf8g5A5dcZ/2XpZXvd1VVjVVV9TVVVc+Xf0JV1Z42iEs4IE+/RmTq0wjzbs6RFX9e9zhT5dvc812V6MEw9SfQ6GDBbXDo+pv4NA3wZsaNbVi97zw7Tl2sc/yuRqtopfIthBAOQFVVPll3ghmf76B9Uz++eTSRjs0C7B2W7aQlG1tOrL2tfFUiXW/et6XJdxNFUUZc8zFQURQXfUknrid6Qj/0aikX/rr+jlOmpPu6lW+Tpp1g2m/Gnq6lE2Dj+9cdJzT9hjY0DfDildUHZeOdMhpFIz8LIYSwsxK9gee/SeaV1Qe5tVM4S6f3Jczf295h2Y55W3kbL7Y0CY2BRkFumXxPBT4BJpR9zAWeATYoinKfjWITDqhpzxjSClJp5h1B9onzVR6jlL0SrjH5BvBvCpNXQ8c74efn4fsnQV95somPp46nbunArtPZfL+36vu6G+n5FkII+8opKGHKwm18seU0Dw1oywfj42nkWc27vq7g0kkoybd9v7eJRgORiXDK/ZJvD6CjqqojVVUdCcQCKtAbYxIu3EijTo3x0Hixf86PVT5vqnxX23ZSnqcPjP4Ukp6EHQtg8WgorLyhz8j4CDo2C+D1Hw5RWCJJp/R8CyGE/Zy5mM+o2RvZdDyLN0Z14ZlbY9BoGqANw95Miy1tPeO7vMj+kH3aZfq+LU2+I1RVLb/PdwbQUlXVi4AMYHYzsVNv41JRJo1LgygtLa30fK0q3yYaDQx6CYa9DynrjDtiXjNUX6tReOH2jpzNLmDhxpQqLuJeZM63EELYx45Tl7j7gw2kXy7ks6kJjOnZ0t4hNRxbbytfldaJxs8uMu/b0uzoD0VRvlcUZZKiKJOAVWWP+QLZtgtPOCKdTscV78sEegax74NvKz1vcc93VeLvg/tWwpXzMHcgnNla4enEdiHcHBPGB78fIyu3qE7xuwqpfAshRMP7ds857pm7GT9vHSsfSaRf2xB7h9Sw0vdDcDR4NGBfe1gsNGpi3GreBViaHT0CLAC6lX18Bjyiqmqeqqo32So44bg6P3o7RfpCSk5U3nCnyk12aiPqBuNCTC9/WHgHJFecK/7c0BjyS/S885t7b7wjPd9CCNFwVFXlvd+O8tiSXXSLaMzKhxNpG+qG05bTkhu25QSM7463TjS+M+4CasyOFEXRAr+rqvqVqqpPln2sUGXMglvzbxFKWnEq4d4RpK7fU+G5StvL10VItDEBbxEPK6bAn/8xT0JpF+bPPQktWbzlNMcyqt8l05VpFa1MOxFCiAZQVKrnqeV7+O8vRxjRvQWLpiUQ5Otp77AaXkE25JxuuEkn5UUmGbe0zz7T8Pe2shqTb1VV9YBBUZTABohHOJFmQzqioJCyYkeFx+td+TbxDYaJq6DLWFj7CnzzEJQaW02eGNSeRh5aXv/hYP3u4cQURZHKtxBC2NjFvGLu+2QrX+86y1OD2/PfMV3x0rn4RJPrSd9v/GzrbeWrYpr37QJ935ZmR7nAPkVR5imK8q7pw5aBCcfXZmgf0gvP0lTXnMJLV6eTWC35BtB5wfCPYMBzsGcJfHY35F8kxM+Lh29qy68HM9h4/EL97+OEZMGlEELY1vHMXIZ/uIHdqdm8e093Zg6MNg8VcEum5LuhxgyWF9bJuKumC7SeWJodfQ28CPwF7Cj3Idyc2kyhkc6X3W9fXXhZrwWXVVEUGPAMjJwHZ7cbt6S/cIwpiVG0aNyIV74/iN7gfu0XsuBSCCFsZ9PxLEZ8uJHcwlKWPNCHYV2b2zsk+0vfZ9zwxr9Zw9/b3Pft/PO+LcqOVFX9FFgObFZV9VPTh21DE86g+xMjyC3JwTvn6qpnU1WgXj3fVek8CiZ9Z5wB/slAvFM38vStHThw/jJf70y17r2cgFS+hRDCNpZvP8N987YQ5u/FN48k0qN1E3uH5BhMiy3tVf2PTDKOIc5x7n/zLUq+FUW5E9gN/Fj2fTdFUSrPmBNuR+ftyQUyCPEO5+DiXwEbVL7La9XHuBDTLwwWDWeYupauLRvz5s+HyS+uPHPclUnPtxBCWJfBoPLvHw/x9Iq99G0bzIqH+tEyyMfeYTkGgx4yDkJTO/R7m5j6vp185KCl2dFLQAJlM71VVd0NtLFRTMLJxNx/I6WGErK3nAVAoQ6b7NRGUBRM/QVa90NZ9Qhzmn1PxuUC5v510jb3c1BS+RZCCOspKNbz6JKdzP7jOON7t2L+5F4ENvKwd1iO4+IJKC2wT7+3SdNO4B3o9H3flmZHJaqqXrvft/yrLwAIiWtLWuEZmnm35OKhFLQaG1a+TRo1hnu/gviJNNv7IStC5rLwr4NkXC603T0djPR8CyGEdWRcKWTcx5v4ITmNF27vyKt3x+GhteG/Yc7IHtvKX0ujNfZ9O/nEE0t/s/YrijIe0CqKEq0oynvARhvGJZyMf3xTdBoPDnzyu7nybfWe72tpPeDOd2Hw/yM+9y8W8DIfrdls23s6EEm+hRCi/g6lXWb4Bxs5kp7Lx/f1ZFr/Nu490eR60pNBo4PQGPvGEZlkrMLnnLVvHPVgafI9E+gEFAFLgMvAE7YKSjifTpNvJasog2A1FG1pWduJpgGqBooCiY+hjF1EJ90Z7j84laOH9tn+vg5AdrgUQoj6+eNwBqNmb6LUYLFRydUAACAASURBVODLB/syOLapvUNyXGnJENLeOALYnlonGj87cfXb0mkn+aqqPq+qai9VVXuWfe0+7+8Li+T75uLv0ZioH8qSb4tf21lBxzspmvA9Icplkr9+g8IS109KpedbCCHq7rNNKUxZuI3WwT6seiSJuBayl2C10vfbt9/bJLwzeAU69chBS6edtFcU5WNFUX5WFOV304etgxPOpesTd1Ooz6dVjnEWqk17vqvg1zaBvGZ96FK4jVdXu/7Ol4qiSPIthBC1VFxq4PmV+/jHqv3cHNOU5TP6Eh7oXfOJ7iz/IlxOtc+28tfSaKF1P6dOvnUWHvclMAf4BHD9kqKoE5+QQNKLz9KyUVt6n44yL7xsSMFdhxJ8/ln+2LKVH9sFc2ucHTYCaCBS+RZCiNpJv1zIg5/vYNfpbB68sS2zhnRAq5H+7hqZt5V3gOQbIDIRjvwAl89DgPP9O29pabJUVdXZqqpuVVV1h+nDppEJp9RqWFcAxqTd0uCVbwDaDQZgfNARnl6xl9RL+Q0fQwORBZdCCGG5rScvcvu76zmcdoUPJ8Tz7G0xknhbKj3Z+NmeM77LM837dtK+b0uzo+8URXlYUZRmiqIEmT5sGplwSi0H9iCtIJW2Pu3JO5PZ8AEEt4XGrZkUdgyDCk8s3U2p3jUTVFlwKYQQNVNVlYUbTjJ+7mb8vXWseiSRoZ2dr1pqV+nJ4BNi3ODOEYR3Aa8Ap533bWnyPQmYhXG84I6yj+22Cko4NzXaAy9tI5Lf/rHhb64oED0Yn9SNvDasPdtPXeKd3442fBwNQCrfQghRvcISPU8t38NL3x1gQIdQVj2aSHRTf3uH5Xzsva38tTRaaNXXafu+LZ12ElXFh+xwKarUe+YY0grO0FzXkgvJxxs+gHaDoCSPO5ucYnSPCN5fe4yNxy40fBw2plW0UvkWQojrOHMxn5GzN7Jy91n+Nrg9H9/XkwBv2bGy1vSlZdvKO0i/t0lkEmQdgytp9o6k1qpNvhVFebrc16Ovee5ftgpKOD/fhDA8NF4cnvtnw988sj9oPeHoL7x8VyeiQnx5YtlusnKLGj4WG9IoGlRVtXcYQgjhcNYdzeTO99dz+mI+8yf14rGB0Wikv7tuso6Bvsgxk29wyup3TZXvceW+/r9rnrvVyrEIF9JxwiDOFZyihVck5zYmN+zNvfyMb0cd+w0fTx3v3xNPdkEJf/9yj0slq9LzLYQQFamqyuw/jjNp/laa+nvz3aNJ3BTjIH3Kzsq02NJRJp2YhHcBT3+XTL6V63xd1fdCVBB6azQaRUPKUjssD4geDJkHISeV2OYBPD+0I2sPZzJv/cmGj8VGpOdbCCGuyi0q5eHFO/n3j4cY2rkZKx/pR2SIr73Dcn7pyaDxgJAO9o6kIq0OWvd1yoknNSXf6nW+rup7ISpoM7QPqQWniGgUyckftjTszdsNMn4+9isAE/u2ZnBsU/794yH2peY0bCw2InO+hRDC6ERmLsM/2MBP+9N4fmhH3runOz6elm5lIqqVlgyhHUDnae9IKotMggtH4Eq6vSOplZqS766KolxWFOUK0KXsa9P3DjLsUTiyVmPiMagGMn440rA3Do2BgBbm5FtRFP4zqgshfl7MXLKT3KLSho3HBqTyLYQQ8MuBdO56fwNZecV8PrU3D9zQBsVRpnK4gvRkx9hWviqtTfO+nav1pNrkW1VVraqqAaqq+quqqiv72vS9LBkWNYpI6szZohSaN2rNoS9+a7gbK4qx+n3iT9CXANDYx5N3xnXn9MV8Xli5z+n7v6XnWwjhzgwGlbd+PswDn20nKtSX72Ym0a9diL3Dci15WXDlvOMttjRp1hU8/SDFuVpP7LAFoXA37afcQIlazJUtDfy2ULtBUHQZzmw1P5QQFcTjA9vzze5zfLXzbMPGY2VaRev0LyCEEKIucvJLmPrpNt79/Rije0SwfEZfWjRuZO+wXI+jLrY00eqcct63JN/C5kK7tuNcySmaNWrJ3o++a7gbt7kRNDo49kuFhx+9uR29o4L4x6pkjmfmNlw8VqYoilS+hRBu51DaZYZ9sJ71xy7wyt1xvDGqC94eWnuH5ZocbVv5qkQmwoXDkJth70gsJsm3aBBdHr+dQn0++oMFlJY2UL+1dyC07G3u+zbRahTeGdcdL52GmV/soqjUORNYWXAphHA33+45x/APNlJQrGfp9L7c26e19HfbUloy+IaBX6i9I7m+yP7Gz0409USSb9EgAiLDSecsod7N2PP21w1343aDIG1fpR2wwgO9eXN0Vw6cv8xraw41XDxWJD3fQgh3Uao38OrqAzy2ZBdxLQL4/rEkerRuYu+wXF96suO2nJiY+76dp/VEkm/RYLo/M5K80st4nNU1XPXbPHKw8mLPgR2bcn9iJAs3pvDLAecaUwTGyjcgfd9CCJeWlVvEffO2MnfdSSb1bc3iaX0I8/e2d1iuT18CmYccd7GlidbD+C63JN9CVOYTEkiWZyZBXqHseHVpw9w0vDP4Na3U923y7G0xdGoewKwVezifU9AwMVmJ6a1WqX4LIVzVnjPZ3PneenaevsR/R3fl5bvi8NRJ6tIgLhwFfbHx31FHF5lkfKGQm2nvSCwiv8GiQfV8biyXiy/hnxNAcW4DJLumkYPH14K+crXdS6flvXu6U1xq4PGlu9EbnKeKbKp8S9+3EMIVLd92htEfbUJRFL56qB8je0TYOyT3Yl5s6aAzvstzsr5vSb5Fg/L0a8SVwMsEeDZh+7+WNcxN2w2Cwmw4u6PKp9uE+vHK3XFsPXmR934/2jAxWYFGMf71leRbCOFKikr1PLdyH09/tZeEyCC+n5lEXItAe4flftKTQesJIe3tHUnNmncDD1+naT2R5Fs0uB7Pj+NiUSbBxaHkX2iArd7bDABFU2nqSXkj4iMY0b0F7/52lC0nsmwfkxVI8i2EcDXplwsZ9/FmvthymgdvbMunUxJo4uuA25q7A9O28lon2FNR6wGtekvlW4jr0el0lLQoxVcXwK5/f2X7G/oEQUSv6/Z9m/zz7jhaBfnw+NLdXMortn1c9WRKvqXnWwjhCraevMjt767ncNoVZk+I59nbYtBqZIyg3aQnO/5iy/IikyDjAORdsHckNZLkW9hF1ydGkFl4nqa04HJKWs0n1Fe7QXBuV7WLMfy8dLw/Pp6svCJmrdjr8FNEpOdbCOEKVFVl4YaTjJ+7GX9vHaseSeS2zs3sHZZ7y82E3HTnSr5bJxk/O0H1W5JvYRc6nQ5tx0Z4a33Y+85q29/QNHLw+O/VHhbXIpBnb+vIrwfT+XRjiu3jqgfTtBNJvoUQzqqwRM9Ty/fw0ncHGNAhjFWPJhLd1N/eYQlH31a+Ks27g4cPpEjyLcR1dZlxJ+cLztDcozWZe47Z9mbNuoFPSLV93yZTEiMZGBPGv9YcYv+5BuhJryNT5VvaToQQzujUoZ2cuLM7g7/4G38b3J6P7+tBgLcT9Be7A/OkEydKvnWeTjPvW5JvYVf+fcLxUDw5Mv8v295Io4F2A+H4b2CovlKsKAr/Gd2VJr4ezPxiF3lFDbQhUC3JgkshhDNSDQa2rvgvIZ8PQTldTJuUc8y8oTUa6e92HGnJ4BcOviH2jqR2IhMhYz/kOfbgBEm+hV3F3HMz5wpO0cIrktT1+2x7s3aDID8Lzu+q8dAgX0/eHtudk1l5/H/f7rdtXHUkPd9CCGdzOSuD3f8dRkLyPzmRFw0GBUORQsHPS+wdmigvfb9ztZyYmOZ9n95o3zhqIMm3sLuw29qjUTScXr7TtjdqezOgwNGaW08A+rYNZuZN7VixI5Vvdp21bWx1IJVvIYQzOfj/s3ffYVGd2QPHv3f6wIwgSBEQLIAIKPbewJaYYvom2fTee7LJZve32WySzab3XjfZTdkkxphqDFixC1hQsYJKB8EZGJh2f38MGAsqMHMZyvt5Hp5JZu5935PsBo6X856z6idsr44n1ZrN6kF30zf5Ws8Hkozlx2/8G5zwO6e9a4yVb0nUSNAYO33piUi+Bb8bcOY4Dtj2EWOMY8+Pq5XbKLCP50BGK+q+m901I4Ex/Xvz6PzN7KusUy62dhCtBgVB6AqcDjur37uPxJ8vwyHp2Hfet4y/8nFseXlo42IJjAvEurHrDDjr9ioLwO3oGmPlj6fRQb+xIvkWhNbof+lo3LKbip8V/gacMAsOrof66lZdrlGrePnSEWjUKu78LAe7s/M8ZW5Ovjt7S0RBEHqu4n072PXMNMYfeJ+NwXMIvncVCSOmIssytpxcAoaPwDR5LPZDMvZchc/+CK3TlcbKt6T/FE/ZTCt/zvuDSL6FTiFqYioHG/cRZYxj239a/2S6zeJnguyGPVmtjy3YyDMXDWPzwVqe+Xm7crG1kXjyLQhCZ7bhh/cwfTSdaPte1o9+ljH3foGpV28AHPv346qqwjhiBKYLPOUnlvn/9me4QrOyLaDWQ2iCvyNpn/6TARkKO2/dt0i+hU5jyM3pONyN1K0tV26T6FFgCG513XezOSmRXDUhjvdW7CVru4LxtYE4cCkIQmdUZ6lh3UuXMmrd/ZRoYrFcs4TRZ990zDW2HM/Bd+OIEeiSx6IPVWPN3uCPcIXjlW6B8CRQa/wdSftEjwSNoVOXnvgl+ZYk6WJJkrZKkuSWJGn0Ka77QJKkckmSthz3fogkSb9KkrSz6bW38lELSgtJHkCxcz+Rxn7kvfGdMpuo1J6Dl7sWn7bl4PH+PHcISZFm7v9fHmWHG5SJrw3EgUtBEDqbXXkrqH5hAqMO/cyq6GsZ+NAyogYknXBdfU4OKpMJffwgAExjkqg/YMNVsq9jAxZOVLYFIrpgvXczjd5T910oku/jbQEuAE5X4PURcEYL7z8M/CbLcgLwW9PfC91A2n1nYXPV4S5owOlUqL92wiyoK4eytrU2NGjVvHb5CGx2F/d+kYvL7d9aa5F8C4LQWbhdLlZ/+hix35yLXm5g2+z/MOHGl9Dq9C1eb8vJxZiWhqT2/AbPfNbFIEtYv3mvA6MWTmApg7qKrlvv3az/FM8T/E5a9+2X5FuW5W2yLO9oxXXLgJb+zc0DPm7664+B83wYnuBH5n4RlFNCmKEvuS8o1Hpq0AzPaxu6njSLDzfz93NTyN5dxZtLFJ7KeRqi5lsQhM6gsrSILc/OYvyuF9kaOB7dHatImXTWSa93Wa00FhRgHDHiyHuG9AtRG2UsWa0/jyMooCuOlW9J3CRAhqJV/o6kRV215jtCluWSpr8uBSL8GYzgW6P+fAF1jsPoSzQ4G+y+38AcAZHD2lz33ezi0TGcmxbFi4t3sn6f//5U3VzzLbqdCILgL3lZX6J6axKJtk2sSfkrwx/4nuA+kae8x5aXB7KMccTwI+9JGg2m1GjqdlQh2zpXW9cepSuOlW9J9Kimuu+V/o6kRYol35IkLZYkaUsLX/N8uY/syTxOmn1IknSTJEnrJUlaX1FR4cutBYUYegdRZaiktz6M9U9/ocwm8TNh/xpoqG3zrZIk8eT5qUQHG7n781xq6x0KBNi6OEA8+RYEoeM1NtSz+o0bSVt6I7WqEEov/ZlxFz+ApDp9WmHLyQVJwpiWdsz75llzcDsk6n8QXU/8pnQL9IqGgBB/R+IdrQFixsC+5f6OpEWKJd+yLM+UZTm1ha8FPli+TJKkvgBNrydtPyHL8juyLI+WZXl0WFiYD7YWOsLov/yBWns1vSxB2K0232+QMAtkF+xZ0q7bzQYtr142grLDDfzp601+efosup0IguAPhdtzOPDsRMaXf8masIvo+2A2/YectHfCCWy5uegTE1GbTMe8HzjveiS1jOWXhb4OWWitsi1dv967Wf/JULoZbDX+juQEXbXs5Dvg6qa/vhrwRUIvdCI6owFrsIVe2t6sf1KBp98xY0Dfq111383S+gXz0BmD+XlrKZ+uKfJhcK0jar4FQehIstvN2q9eIPyz2YS4qsid8jbjbn8fgzGwTWvYcnOPKTlppgoKJXBgL6y5e5Hb2I1K8AFno2e6ZVcvOWnW3O+7E9Z9+6vV4PmSJB0AJgA/SJL0S9P7UZIk/XjUdZ8Bq4DBkiQdkCTp+qaPngZmSZK0E5jZ9PdCNzPqz5dS3VhOqCOcuopDvl1crYWB0z113148tb5h8kCmJYbxj+/z2VZy2GfhtYZ48i0IQkepra4g54V5jN3yd3YbknHetJzhMy5t8zqNu3bhtloJOOqw5dFMUyfisEDjmkXehiy0VcUOcDu7/mHLZtGjQa2nbP0Sf0dyAn91O5kvy3KMLMt6WZYjZFme0/R+sSzLc4+67jJZlvvKsqxtuv79pverZFmeIctyQlN5S+fsJSN4RaPR4OgnE6gxk/uv+b7fIH4mWIqhfFu7l1CpJJ6ZFsnfV73P1iuvpbwD+38313yL5FsQBCVtW/MztlfGM9SyktUD7yL5oUzCovq3ay1bTi7AMZ1Ojma68AYArAs+bdf6ghe6y2HLJmVFJWSX/4uSdaOxHvLxAzwvddWyE6GHGHXfRZQ3FBMhRVOzp+T0N7RF/EzP665f23W7LMvUfvcdNZddzPCDW0k5kM+dz31HuaVjEvDmJ9+i7EQQBCU4HXZWv38/iT9eilPSsHfefMZf9Q9UTb2528OWk4M6NBRtv34tfq4dmIohQot1zaZ27yG0U+kWT4eQkEH+jsRrK9/7gqo3NtMvYBDVjlLUWq2/QzqGSL6FTk+XEohBHcCWV37y7cJB0RCe3K66b2d1NQfvupvih/6EPj6e2A/eByBux0Yue2d1hyTgzTXfotWgIAi+VlK4g13PTGP8/vfYGDyb4HtXkzhymtfr2nJyMI4YfuQ3dy0xjRuKrcSOc2++1/sJbVC2BcKHdN2x8oDD4eDX+14jpiAcraSloHcBGa/fifG4w73+JpJvodNLvfFsSmxFROtiqcjz8WCb+JlQuAoaLa2+xZKZyZ5zzsW6ZAnhD9xP3Cf/JnDiRPSJiVwpF1FS28Dl766hwtLo21iPIw5cCoKghA0/vk/gh9OJse9l/ahnGHPvl5h69fZ6XWd1NfbCwpPWezczn3spIGH95n2v9xRaSZabOp103ZKTA/k72HD/5wzRpVHRWAoX9GHGwzf4O6wWieRb6BKCJvZFI+ko+MDHPTvjZ4LbAXtPv67LYqH4kT9z4Lbb0YSH0/+rrwi94YYj45FNGelotm7iwwsHc/CQjcveXa1oAi4OXAqC4Ev11hrWvnQZo9beR4mmH7VXZzH6nJt9tr4t99T13s30E89CYwLLss45IKVbspRCfVWXTb6Xvf4p1vd3EmWMZXv9ZoY9fT4JE8f4O6yTEsm30CUk/iGDg7Z9ROvjOLAiz3cLx04AbeBp677rVq9mz7x51C5YQOittzDgi88xDE485hpzRga4XCQVbeHDa8dw8JCNyxVMwJuffIvkWxAEb+3KW0HV8xMYfegnVkVfw8CHlhM9cIhP97Dl5IBWiyHl1H2kJZUKc1ocdbtqcFs610G5bquLjpV3OBz8evfrxBXFIEkSeyL3MvOV29AZDf4O7ZRE8i10GZFnD0GSVOz/Mtd3i2p0MHCap+67hdppt81G6ZNPUXTNtah0evp/9l/C774bSac74VpDairqsD5YMjMZPzCUD64ZwwEFE3CRfAuC4C27080nCxcR+8089HID+bM/YcKNL6PV6X2+V31ODsbkZFT6069tmn0Wskui7rsPfR6H0IIjnU66zoCdfevzyL3/S4YYh1FmO4jhj/2Yfu81/g6rVUTyLXQZ/WeP8Tz9NvZnz3c+/HVk/EyoKYKqY+vJbXl57D3/Ag598gm9r7ySAfO/OWEc8tEklQrz9OnULVuObLczYdCxCXil1bcJuKj5FgTBGxuLDnH2q8vZv/obdJIT3c2/kTrpHEX2ku12GjZvOW3JSbOAc65BpZGxLvLxQXuhZaVbIKgfGL2v7e8IWS9+hP3zg4Qbo9nWsIkRz19C3Ihh/g6r1UTyLXQpA64Yh1t2UbF4r+8WbW45uNNTeiLb7ZS/9BL7Lrsct72R2I8+JPLRP6MyGk+7lCk9A3ddHfXr1wMcScD3H6r3eQIuar4FQWiPukYnf1+4lQvfzMbS4OTGuFIIjSe470DF9mzYvh25sbHVybcqwExgYgjWzfuRnU7F4hKadJGx8nZbA7/d9QaDSgfglt0UxR1k1ku3o+1krQRPRyTfQpfSd+wQDjbuIzogjvxP29ef+wS946BPIuxaTMOOAvb+4VKq3nqboHnzGLhgAYHjx7d6qcAJ45EMBiyZWUfea07Ai6rr+eO7a6jyUQIuyk4EQWirJTvKmf3iMj5cuY8rx8ex6J7JhFVvhLiJiu5ry8kBwDj8xLHyJ2OaPhVnvUTDsm+VCksAcDRA5c5Of9iyYMUaNj/8LYMDhlJsK8R0fQJTbvujv8NqF5F8C13OkJvTsbsaqF9X6bM15YEzqPxhPfsuughneTkxb7xO1D+fQm02t2kdldFI4MSJWDMzj+m/PXFQHz64egyF1XVc7qMEXCTfgiC0VnWdnXu/yOWaD9dh0Kr46pYJPD4vFXPtTmiohVhlk+/6nFy0UVFoI8JbfY/pghtBkrF+/z8FIxOo2A6yq1Mftlz81LtI3x4iVB9OviOPUc9fRkzyYH+H1W4i+Ra6nJDkARS79hNpjCHvjQVer2cvLKTwvc1U5AZiGp3MwIXfeTqXtJM5Ix1HcTGNBQXHvD8xvg/vXz2GfVV1/PE97xNwUfMtCMLpyLLMgtyDzHxhKQvzirkrI54f757C6P4hngsKsz2vCj75lmUZ28aNrS45aaaJGYQx2oBl3VaFIhOAow5bDvVvHC2oP2wh8863GFw7GIfbTklSFbOfv6PLlZkcTyTfQpeUdv852Jx1yAV2nO2sB5RlmUOffcae886ncX85URPriL6oH5qQEK9iM03zTIGzZmae8Nmk+D58cM0Y9lZ6EvDqOnu792mu+RYTLgVBaMnBGhvXfbSOuz/PJTYkgO/vmsx9swej1xw1Hr4oG3rFQHCsYnE4S0pwlpe3OfkGMI8fTmOFC8f2DQpEJgBNY+WNEDLA35EcI//XZez4v59IDEyhqH43oXemMeG6i/0dlk+I5FvokszRYZSriuljiCTn+a/afL+jtJT9N9xI6d8fJ2DECAYuXEjQjHFIu3/zOjZNWBiGtGFYspa0+PnRCfjl765udwLePJ5ZPPkWBOFoLrfMRyv3MuuFpazeU83/nZ3M17dOJCmy17EXyrLnyXfcBDjFuHdv1TfXe49ofb13M9P5VwNg+eYDn8YkHKVsC0Qkg0p9+ms7yOK/v4VukY1gXSj57jwmvXotEQPi/B2Wz4jkW+iyRj1yIVZHLcYyPc6G1iWwsixTu3Ahe86dR/3GjUT+7f/o9/57aCMjPV1PqndD9R6vYzOnZ9CwaROO8vIWP5/UVILiTQIuup0IgnC8gjILF72VzWML8xndP4RF907luskDUKtaSK6r94C1rAMOW+YiGY0YBre9Rlc3cjq6IAnrijUKRCZ0trHy1kOHWHLnOyTZUmhw2SgfbmH2M3f4OyyfE8m30GUZegdxyFhFsK4P6//5xWmvd1ZXc/Dueyh+8CH0gwYx8Nv59L7ssiNPkI+0HNzl/dNvU0Y6ANYlS056zeSEPrx39egjJSiH2piAiwOXgiA0a3S6ePHXAs56ZTn7Kut48Q9pfHztGPqFBJz8piP13pMUjc2Wk4Nx2DAkjabN90qShGnEIOr3WXFVlyoQXQ93uBhshyDS//XeeQsXs/vvvxEfOIS91gL63j+WcZef5++wFCGSb6FLG/XoH6i1VxNkDcZutZ30OktmJnvOORdrVhZh999H3KefoIs77ldYoYOg94Aj/b69oU9IQBsTg/WoloMtmZIQxrtXjWZ3hZXL25iAiwOXgiAAbCg8xNmvrODl33Yyd2hfFt83jfNHxPz+YOFkCrMhINTTalUh7vp6GrZvb1fJSTPT3POQ3RJ189/zYWQC0GkmWy76yxuYl8mYdcHkS5uY8tr1hEZH+TUmJYnkW+jSdEYD1pA6zNpg1j1x4tNvl8VC8SN/5sBtt6MJC6P/V1/R58YbkdQnqW1LmAX7lnv6nnpBkiRM6enUrVqF23byPxQATE0M472mBLwtT8DFk29B6NmsjU4e+24rF72VTV2jkw+vGcPLl44g1NTK0fCFKyFW2Xpv2+Yt4HIR0I7Dls0C5vwRlU7G+ttiH0YmAFC62fPqp+S7urSUZXe8R7JzKFanhZpxDmb/83a/xNKRRPItdHmjHr6EqsZywpzh1FUcOvJ+3erV7Jk3j9oFCwi9+WYGfPkFhsGnecITPxMc9Z4OAF4yZ6QjNzZSt2rVaa+dmuh5Ar6rwsoV76+hpv70Cbio+RaEnitrezmzX1jKx6v2cfWE/iy6bxrpSa3voU3tQagp7JCSEwBjWlq715D0BkxDwrHmlyI72t8hSmhB2VZPpxtDUIdvvf5/33PwX9kMNA1mt3U7/R+ZwsgLz+zwOPxBJN9Cl6fRaHDFQoDGTM6/5uO22Sh98imKrrkWlVZH///+h/B770HS6U6/WP/JoNb7pO47YPRoVGYzlhZaDrZkWmIY71w5ip3lnifgp0vAxZNvQeh5qqyN3P15Dtd+tI4AvYavbpnAY+emYNK3sZ66qOmhQAdMttQNGoQ6ONirdcwZGbgaJGyLT3++R2gDPx22XPTw64SuMxKgMbNNt4Vpr91Ir/CwDo/DX0TyLXQLI++9kPKGYvpKMeRfdCWHPvmE3ldcwYBv57dpnDG6QM8PIx/UfUtaLaYpU7BmLUF2ty5Bnj44vNUJuKj5FoSeQ5Zl5uccYOYLS/lxcwn3zEzgh7smMyqunXMJCleCzqzoQTvZ7caWm+tVvXezwOZplz987YPIBAAcNqja1aHJd2XRflbc+QHJDKPWXk19hopZj9/akPgkmwAAIABJREFUYft3FiL5FroN3bBe6NVGavrNJPbDD4j8y6OojMa2L5QwCyp3QE2R1zGZMjJwVVXRsGlTq+85koCXnboERZSdCELPcOBQPVd/uI57v8ijf59AfrhrCvfMTDx2WE5bFWZD7DhFezvb9+3DVVvrVb13M3VYNAFxgVg27PRBZAIA5fkguztsrPyaT7+h7KWN9A9MYGddPvF/m8nQM2d0yN6djUi+hW4j9bozOeDcT1xQMoXFXhwgOtJy0PvDPaYpk0GtxnKarifHmz44nLevGkVBqScBr613nHCNKDsRhO7N5Zb5YMVeZr+4jPX7qnnsnGS+umUiiRFm7xauq4KK7R1ScgK0a7JlS8yTxmA/5Maeu8wn6/V4ZVs9rwo/+XY4HCx64HUiNgWjVxvYEZhP+qs3Y+rdW9F9OzORfAvdSsoDc6l3WZCyK6mrPNy+RfokQlCsT+q+1UFBBIwejTWrbck3QPrgcN6+8uQJuEi+BaH72lFq4cI3s3n8+3zGDgjh1/umcc2kkwzLaavmeu9YZZPv+pwc1EFB6Pr398l6pguuAcAy/98+Wa/HK90C2kBPi12FFOVtYcP9n5GsGUa1vQLnWSZm/PVmxfbrKkTyLXQr5shgGkcGYdYGsfm5n9q3iCRB/AzYswSc3p+sN2ek07hzJ/b9+9t8b3pSOG9dOZIdpRau/GANtbbfE3BJkpCQRM23IHQjjU4XLyzawVmvLKeoup6XLx3Oh9eMITq4HSV0J1OY7TlYHj3Sd2u2wJaTi3H4cCSVb1INXcp49KEqrKs2+GS9Hu/IWHllUsHMZz/A9kkRUcZYdtRvZsiTZ5M0XdnuOl2FSL6FbmfY5ZM5QDExRLH5s5XtWyRhFtitsN/7kcam9KZpl+14+g2QkRTBm1eMZFvJYa58/9gEXC2pkWXZ6xgFQfC/1XuqmPvycl7J3MU5aVEsvm8a84ZHn35YTlsVZUPMGNC0sh94O7hqarDv3u2zkpNmptFJ1O+34Sor9Om6PY4se558K1ByYj10iKw73yKhMh637GJfzAFmvHIbxsBAn+/VVYnkW+iWhj5wJhZHLboNNVhKa9q+wICpoNLCLu+7nuhiY9EnxLe57vtoM4ZE8NYVo05IwCVJPPkWhK5uV7mVGz5ez6XvrKbB4ebDa8fw4h+GExLYivaobdVogZI8iJvg+7WPYms6ZO7r5Ns89yKQJaxfi2mXXqk9AI21Pj9sueGrH9jzeCYJgSkU1e8m5LZUpt55hU/36A5E8i10S4F9eiFP7EOA2szWF39p+wJ6M8SO90ndN4ApPYP69etxHW5nHTrHJuBXNSXgakktar4FoYsqtzTw6PzNzHlpGav3VPHgnMEsvm8a6YPbMCynrfav8XS4UPiwZX1ODqjVGIf6NrkzzLgYtUHG6sXDDIGjxsr75n8fz6HK1whZa8Ck6UW+ajOTXr2WiEHK1ZN3ZSL5Frqt5AvHc0BdSowURd6/l7R9gfiZnm9Qh4u9jsWUPh2cTqzLl3u1zowhEbz5x1Hklxzmqg/WIkkqkXwLQhdTb3fy8uKdTH92CV+s288V42JZ+uB0bk+Px6hTrvUfAIWrQFJDzFhFt7Hl5GJISkIVEODTdSWNBlNqFNYdlci2Op+u3aOUNiff3o+V//1QZRo19irqZ2iZ/dRtXq/bnYnkW+jWhj84l8OOGoybbNQWV7ft5oRZnlcfPP02DhuGOjTUJ09rZiZH8MYfR5FfXEuDw43NcWIbQkEQOh+ny81na4uY9uwSXlxcwLTEMBbdO5W/z0sl1KRc/fUxCrMhajjoTYptITud2DZt8nnJSTPzrDm4HRL1P32iyPo9QtkW6N3f81teLxx/qDLpybNIPWO6T0LszkTyLXRrxt4mVNMiMagD2P5SG+u3w5PBHOWTum9JrcY0fRrWZcuQfZAsz0qO4PXLR+J2S/yytYTqOu+7sgiCoAxZlvltWxlnvrycR77ZTL/eRr6+dQJvXjGKgWHKJcEncDTAwfUQq2y9d2NBAXJ9vU8mW7YkcN71SCoZy88LFVm/R/ByrPwJhypjxaHKthDJt9DtJZ07hoPacqJVUeS8n9n6G5tbDu5eAi6n13GYMzJwWyzUb/BNm6zZKZGY9DoO1Tcy56VlZO0o98m6giD4zqYDNVz27mqu/3g9TrfMW1eM5OtbJ7Z/LLw3Dm4Alx3ilG33Vt80XMcXky1bogruQ+CgXlhz9iC7Rdldm9nroGp3u5PvFg9V3i4OVbaFSL6FHmHEQ2dT66jGtN3OocI2JKnxMz0nwg+s8zqGwAkTkPR6LJlt+APAaRg0GuakhBMaqOPaD9fx6PzN1Nu9/4OCIAje2V9dz12f5XDuayspKLPy+LwUFt07lTNS+/q+dWBrFWV7XmPHK7qNLScXTUQEmr59FdvDNHkCDgvY13n/m8kep3wbILe504k4VOk7IvkWegRDLyO6WbHoVQZ2vtqGuuuB0z2Hk3wwal4VEEDg+PFYM7N81ptbJakICtCw4I5J3Dx1IP9dW8Tcl5ezseiQT9YXBKFtaurtPPF9PjOeX8ovW0u5PX0QSx+czlUT+qNV+/lHbmG2p5wuQNmn7racHIwjRij6hwzThdcDYPn2U8X26Lba0elEHKr0LZF8Cz1GwhkjOGioJEoTxYa3FrXuJmMw9Bvrk7pvAFNGBo4DB7Dv2uWT9VSSCpfsQq9R88jcIXx+43gcLpmL3szmuV92YHeKX8kKQkdocLh4Z9lupj6Txfsr9zJveBRLHpzOg3OSMBu0/g7PUzq3f63iLQYdZeU4Dh4kQKF672ba+GEYIjRYV+cpuk+3VLoFdGYIjmvV5Ucfqtxev0kcqvQBkXwLPcrIP53NIUcVQbtlqnaVtO6m+JmeoRRW72uqTdOnA3g1cOdox/f5HjcwlJ/vmcKFI2N4LWsXF7y5kp1lFp/sJQjCidxumQW5B5nx/FKe+nE7I2J78+NdU3j24jT6BvlwJLy3Sjd5pvYqnHzbcnMB3w/XaYlpbCq2EjvOwu2K79WttHKsfEuHKme+crs4VOkDIvkWehR9gIGAuYPQqnTseWs5LlcrpkPGz/S8+qDloDYiHMPQoVh9VPctSdIJfb7NBi3PXpzG21eOorimgbNeXcH7K/bidosx9ILgS9m7K5n3+kru/jyXIKOWT68fx8fXjWVI317+Du1Ehc313gon3zk5SHo9hqQkRfcBMJ97GSCmXbaJLEPZ1tOWnIhDlcoSybfQ4wyaMZTigGr6avqS82Yryk8ih0FguE/qvgHMGenYNm3CWVHh9VpqSX3S8fJzUiL55Z6pTE3owz++z+eK99dwsMbm9Z6C0NMVlFm47qN1XP7uGqqsjbxwSRrf3zmZyQl9/B3ayRVmQ+8B0Eu5Q5DgSb4NQ1ORdDpF9wHQTzobTSBYlq1QfK9uo6YIGg+f9LClOFTZMUTyLfRIox86h2p7Bb0L1ZRvP3Dqi1WqppaDv4G7FU/KT8OUng6yjHXpUq/XUkmqUx7eDDPrefeq0Tx9wVDy9tdwxkvLmJ9zwGcHPgWhJyk73MDDX2/ijJeWsW5fNQ+fmUTmA9O5YGQMKpWfOpi0htsNRasUbzHobmzElp+vWIvB40kqFea0WOp21uC21nbInl3eKQ5beg5Vfk6yJo1D9kpxqFJBIvkWeiStUUev84egljTsfzf79OUn8TPBdgiKc7zeWz94MJqovliylni9VvOBy1ORJIlLx8by091TGRxh5t4v8rj9vxs5JAbzCEKrWBudvLBoB9OfXcLXGw9w9cT+LH0wnVumDcKgVXgcvC9U7gBbNcQpO1ynYetWcDg6pN67mWn2WcguifrvPuiwPbu00i2A5Ol6c5TMZ5oPVfZje/0mhjx5tjhUqSCRfAs9Vv8pQyjtVUuEti8bXvn51BcPygBJBTt9MO1SkjCnZ1C3ciXuhgav1lJJqhNqvk8mNjSAL26ewJ/OSOLX/DIxmEcQTsPhcvPJ6kKmP5vFK5m7yBgSzuL7pvG3c1IICVS+rMJnCld6XpU+bNk0XMeYlqboPkcLOPdaVBoZy6IfO2zPLq1sM4QMAL1nsuqRQ5VV4lBlRxLJt9CjjXrobCod5fQp0VOyqfDkFwaEQPQon9V9mzLSkRsaqFu1yqt1TlXz3eL1Kolbpw/i29sn0TtADOYRhJbIssyiraXMeWkZf/12CwP6BDL/tom8fvlI4kK7YFJSmA3mvp6abwXV5+SgjYtFExqq6D5HUwWYCUzojXXTfjHtsjWOOmwpDlX6j0i+hR5Nq9MSeslQVKgo+XjdqctP4md6xjPXVXm9b+CYMagCA7F62XLwdDXfJ5MSFcSCOyZxkxjMIwhHuN0yv20r45K3V3HTJxsAeOfKUXx58wRGxPb2c3TtJMtQuMrz1FvBoTeyLGPLySVgeMeVnDQzTZ+Ks16iYdn8Dt+7S2m0QvVeHCFDWPTA64SsNRAoDlX6hUi+hR6v37hESkMOE66NYP0LP5z8wvhZgAx7vO/RLel0BE6ZgmVJlldPa1pT830yBq2aP88dwmdHDeZ5ftEOHC7x9EjoWertTj5ZtY+ZLyzl+o/Xs7/axhPnpfLLPVOZnRLpv3HwvnBoH1iKIVbZem/H/v24qqo6tN67menCGwAZ68IvO3zvLqU8nyJbXzZ8F0OyZhiH7JXYxKFKvxDJtyAAY+47mwpHGeEVgRxYv7vli6KGgzHEpy0HXRWVnkNK7XT8kJ32GN80mOeCkTG8mrmL898Qg3mEnqGk1sbTP21nwj8z+euCrZgMGl6+dDjL/5TOFePj/D8O3hea+3sr3OnkSL23H5JvTUwCxmgDlrXt/17aE2S+9TM21/NEBcSKQ5V+1g2+swiC99Q6DWGXeX5oVHyWg6ulGmiV2tNycNdiT+suL5mmTgW1GosXA3facuDyVMwGLc9dnMZbV4jBPEL3l7e/hrs+y2HKv7J4Z9luJgwM5X+3TGDB7ZOYNzy6eyTdzYqywdgbwpQdelOfk4PKZEIfP0jRfU7GNH44jRUuHAUb/bJ/Z1a5axfLbn+bRFe651BlP3Go0t+60XcYQfBOzOhBlIfVEaaNYN0L37d8UfxMqKvwjGr2kjo4mICRI72q+/ZV8t3sjFTPYJ4p8b8P5ikWg3mEbsDllvlpcwkXvZnNvNdXkrm9nKsmeFoGvnXlKMb0D+na5SUnU5jtKTk5zShxb9lycjGmpSGp/dN60Xye56Cg9WvRcvBoS55+hYo3tzHQnMweyzZCbklk6h3iUKW/ieRbEI4y+r6zKHeUElndi6JVBSdeMGiG53WX9y0HAUwZGTTu2IH9wMF23e9NzffJhJn1vHe1ZzBP7v4a5ojBPEIXZmlw8N7yPUx7Notb/7OR0sMN/OWsIax6JIP/OyeZfiEB/g5ROZZSqN6jeItBl9VKY0GBX0pOmulGZaDtJWFZsdpvMXQmh4sPknX7Gww8lIZKUrHDsI6pr99ERMJgf4cmIJJvQTiGWq2m79VjceOm+qvNOOyOYy8whUHf4bDrN5/sZ06fDoA1q31Pv9WSWpGk+PfBPFOODOa54785YjCP0GXsr67n8YX5TPhnJk/8sI3IXgbe/ONIlj6Yzg1TBmI2aP0dovKO1Hsr3N87Lw9kGeOI4YrucyqSSoV5xEDq91pxH+rZ8wtWvvwmRc+tI8E8lKK6XZiuimHGY/f5OyzhKCL5FoTj9B0WR2VUI3204Wx4poXyk4RZsH8t2Gq83kvXvz+6gQPbnXxLkuTzJ99HiwsN5IubJ/DQGYNZlO/pe7xEDOYROilZllm3r5pbPtnAtGez+PeqfWQkhbPg9kl8detEzhzaF3VnHgPva4XZoA2ESGWH3thyckGSOnS4TktMc89DdktY57/n1zj8xVpZwW+3v0q/4iHoVXq2q1Yz+bXriR7m3/9dhBOJ5FsQWjDqzjModZTQ93Awe5fnH/th/EyQXbBniU/2MmekU7duHS5L2zuM+KLbyWn3UEncNj2eb2+fRHCAlms+XMdfvhWDeYTOw+FysyD3IPNeX8nFb61i1Z4qbpo6iOV/SueVy0aQ1i/Y3yH6R2E29BsLao2i29hyctAnJqI2mRTd53QC5lyOSidj/c03ZYFdyZp3PmDPk8sYbB7Owfp96C4MYuZTD/o7LOEkRPItCC1Qq9XE3jgRp+zA8u0OHLajyi2iR4MhyKd13zgc1K1Y0eZ7laj5PpmUqCC+u2MyN04ZwH/WFHHLS5+zadUiMVVO8JuaejtvLNnFlH9lcffnuVgbnPzjvFRWPZLBw2cm0TfI6O8Q/ae+Gsq3Kt5iUHa5sOXl+bXkpJlkCMA0JAzr1hJkR88okbNZLPx654tE7hpAoMZMvnM1E169hrgJypYaCd5R9o/DgtCFhSfFUBS3mcgDfVj/zEIm/O1CzwdqDQxM99R9y7LXU+OMaWmoe/fGkplFrzPPbNO9StV8n4xBq+bRs5KZPcjIwM+nE/pLDbsXD6A6+WqGnnkDhgBzh8Ui9Fx7Kqx8sHIvX284iM3hYlJ8KE9dkMr0xHBUPams5FT2r/G8Klzv3bhrN26rlQA/HrY8mik9ncN5/8O2+EsCzuzeXT02/uczVOs0DAkcTXF9IcHzIpg9Qzzt7grEk29BOIURt86mxFlCVH0Iu3/b/PsHCbPAUgJl3g91kNRqTNOnY122DNnZtlIOpWu+T2bMzpcJkQ6zKfEOVLLMmM2P0fBMEqvfvo3ifTs6PB6h+5NlmZW7Krnuo3VkPL+UL9cd4Oxhffnp7in854bxZCRFiMT7aIUrQa2D6FGKbuPP4TotMV1wI0gy1h++9ncoinHY7Sy663lC8iLopQ0mv3E1I567hMQZs/wdmtBK4sm3IJyCWq1m4C1TOPT2Jhp+3E3jhAT0AYajWg4uhshUr/cxpU+ndv586jduJHDs2NbH1wE13ycoWgMbPkSacAfD5jyJ7P4HW1f/TOPKNxld/BnSh/8lJ3AC2gm3kDLpHCSF+wsL3Vuj08WC3GI+WLGX7aUWQgN13D0jgSvGxxFm1vs7vM6rMNuTeGsNim5jy81FHRqKtl8/RfdpLXV4PwJiA7BsKCDc38EoYMu3C2jMspEcMJYy2wEMGQHMnieednc14qeiIJxGaHxfDg9SEawNZePTCz1v9uoLEUN9NmreNGkSklbb5oE7vh6yc1pOOyy8G4L6wfRHAE+Lr5SJcxn54EIqb1jH2uir6F+/hdTfrqLwiWGs+fIZ6ized4YRepaSWhsvL97JpKczeeirTcgyPHPhMFY+nMG9sxJF4n0qjVYoyVO85AQ8T76NI4Z3qgFF5kljsB9yY89b7u9QfMZht7PonucIyA4kRB9Gfv1ahj17ISnz5vk7NKEdRPItCK0w8pZZFDuLiW4Mo+BHz69ZiZ8BRaugse1dSo6nCgwkYMJ4LJmZbarh7vDkO/sVqNgGc58D/YmdDSL7xTPhplcw/mk7a9OewCnpGJf/JK7nh7D6jZs4sGtLx8UqdDm7yq28nrWLea+tYMI/M3lxcQFDo4P49Ppx/HzPFC4Z0w+D1j8TFLuUA+vA7YRYZZNvZ3U19sLCTlPv3cx0/tUAWOb/28+R+EbBol/IeeBLkg3jqLVXUzO8gtmv3I9Wp/N3aEI7ibITQWilhDvTqXx1I47fammYnIQhYRasfAn2LIUhZ3u9vjkjg9LH/o59zx70gwa16p6O7HZC1W5Y9iwMORcGn3HKSw3GQMaefyfyvNvZvv436pa/waiyr1B/8iV5AWOQxt5M6tTzUflpFLXQOciyTN6BWn7ZWsovW0vZU1EHQFpMEA/OGczcoX0Z0CfQz1F2QYXZIKk8bQYVZMvNBTpPvXcz3dCJ6ENUWLPXE+rvYLy06IFnGSSlEWGIZpt1PdOeuQldgPhvoqsTybcgtFLvuHD2JesIKwgk55nvmfD380Bn9pSe+CD5Nk2fDvwdS2Zmq5PvDqv5lmX44T7PAa4zn2n1bZJKRdLYWTB2FpXF+9j106vE7/+KPkuvZ/+yv3Iw8QpS5t6KOShEweCFzsThcrN2bzW/bC1l0dYySg83oFZJjB8YwjUT+zMrOaJntwj0haJVEDkMDL0U3caWkwNaLYaUFEX3aQ/TqMFULc7HVVaIOiLO3+G02b7sFZR8tpvkwPFUN5ZjS7Ew64Z7/R2W4CMi+RaENhhxXQZrHvqCaEck23/IJWngNE/y7YOWg9rISAzJyVgzs+hz442tukeSpI5Jvjf/zzNUaO5znnr3dugT1Z8+1z+PvfFJNiz6CFPeh4zf8Qx1219hTdhcImfdTdxg//cKFnzPZnexbGcFv2wt5bdt5dTaHBi0KqYmhPFgymBmDAknOED8Ct0nnI2espPR1ym+VX1ODsbkZFT6zld/bzr7Iqp+/QfWb94n6NbH/R1Om/z652fpbx9KVEAcO6w5TPjHlQT07u3vsAQfEsm3ILRR0j2zKHthDe6lh7GdOwPj9u+hsgDCBnu9tikjg8rXX8dZXY0m5PRPg9WSWvmyk/pq+PkRz3AhH/xA1+kNjDrnFjjnFnbmLKNmyWuMqPgO3WffsFk/EteYmxg6/WLUGvHtqSurqbfz27ZyFuWXsrSgggaHmyCjlhlJ4cxOiWRaYhhGnSg78rniHHA2KH7YUrbbadi8hd6XXaboPu1lzLgIteFxrJmZXSb5PpCXS+G7GxhiGk+Nu4ryfvuYcfdd/g5LUID46SYIbRQUFcK+YUZC89Xk/mRlggHY+atPkm9zRjqVr72GdclSgi84/7TXqySV8kN2fv0r2A7BVQtA5dtkKWHEVBgxlaqyA+z88VUGFn5J+IpbKF75N4oGXc6QubcTFBLm0z0F5ZTWNrAo31O/vXpPNS63TGQvA5eM7seclEjGDghBqxbn/BVVuNLzGjtB0W0atm9HbmzsdPXezSStDlNKFJZNxcgN9UiGAH+HdEqL//Y8/eqS6BcYz07rJkb9+Tx6RUX7OyxBISL5FoR2SLtqOqv/9AUxRLPVeRUpuxbDxDu8Xlc/ZAiayEisWZmtSr4Vf/K9bwXkfAqT7vZJP/OTCY2IIfTaf+GwP86Gxf/FmPMe43e9SP3Lb7AmdA7hM+5gQMo4xfYX2m93hbXpwGQZefs9LSUHhgVy09SBzEmJZFh0kBh+05EKV0FYEgT2UXSbI8N1hnfeUjHzrNnUbviY+h8/IfCCm/0dTovKdu5gx8tLSTKNxSIfYm/oJtL/dae/wxIUJpJvQWinlHvnUPzcSlTO2dTtuo9Aex3ovDuFLkkS5ox0auZ/i7ux8bS1lIrWfDsbYeE9EBwH0x5WZo/jaHV6Rs29FuZey+5Nq6jKepW0qp8w/O87ti4YRuPIGxg24zI0WlEf7C+yLLP5YO2RhHtXuRWAYU0dSuakRBAfbvZzlD2U2wVFq2HoRYpvVZ+TizY6Gm1E5x1lE3jeDUjPfIT1l4WdMvnOeuplIqsGMtA0hN2WfFLuncGQ+HP9HZbQAUTyLQjtZI4Mxj4qmN55bjbX3Mv4fSsgcY7X65rSMzj038+oX70a07Rpp7xW0SffK16Cqp3wx69B1/G/sh00bAKDhk2gprKU3B9fJ27PZ/RdfRelqx9n54Ar0E+5i+ToIEx68W1Mac6jO5Tkl1FS6+lQMm5ACFeOj2NWcgRRwaJDid+Vbga7BeImKbqNLMvYNm4koA3TeP1BFdyHgIFmLBt3E+52d5ppu9X7C9n09A8MMg2nHisFxnVkPH2fv8MSOpD4qSUIXhh62SRW531BTMBQNn2zimEPe598B4wbiyogAEtW1mmTb8Vqvit3wvLnIPVCSJjp+/XbILhPJOOv+gcu59/Iyfwc/fq3mbL3Ja7boSFLHsmAPoGkRgUxNDqIlOhepEQFEWTU+jXmrsztljlYY2NnuYUdpVa2lRxm2c4Kauod6DUqpiaGcf/swcxICqd3oPgNRKdStMrzGqdsvbezpARneTnGEZ235KSZefJ4Sj9ajH3dr+jHef/92VtLnn6FsPI44s1D2WfdQfyt40hKOcvfYQkdTCTfguCloQ+cSdE/l2KoTKV0bQ6RY707gKTS6QicPBlrZhby3/52yrHNigzZkWX4/l7QGuGMp327thfUGg0jZl8BGZfgfjaBp+IK+DL2UjYfrGX9vmq+yys+cm1sSMCRZDw1KojU6CBCRKJ4DFmWKbc0sqPUQkGZ52tHmZVdZRbq7L//fyqil570weHMSYlgamIYATrxY6PTKlwJwbEQFKPoNvVN9d6dbbJlS0wXXA8fLcay4D9+Tb4Pbt7M7rdXMShwOPUqK9tVa5j52gN+i0fwL/FdVBC8FNinF+pxGrTrdVR+XogxLJSgAbFerWnKSMeyaBENW/Mxpp58gIUiQ3Zy/wv7lsM5L4OpE9ZzanSoUuYRufkr7vrj26BLAKDK2sjW4sNsPljL1uJaNh+s5YfNJUduiw42khLVi9ToIFKjPa/hZoO//ik6VJW1kYIy65Eku6DMwo5SC4cbnEeu6WPSkRBu5uLR/UiIMDE4wkxChFn8FqGrkGXPYcuEWYpvZcvJRQoIQJ+YqPhe3tImDscQrsG6Og9lj6Ce3K8PP0ucM4UBgUnstW4j8baJDE6Z66dohM5AJN+C4AOJl5xJXsXn9C6KZM8rq0h+LAh9UFC71zNNmwYqFdbMzFMm3ypJ5dvku64SFj0K/cbDiKt8t66vpV4IGz+Ggp8h9QIAQk16piaGMTXx99aEtfUOthbXsqW4li0HD7OluJZft5XRXKkTbtZ7kvEjSXkQfYMMp/xtQ2dWa3Ows8xyQqJdabUfuaaXQcPgSDNnp0U1JdgmEiPM9DF1vkEpQhtU7oT6SsX7e4On04lx2DCkLtKL3zQ2hcrvc3EWFaCJ7bg/MBQs+oXqhWUMCRxPrbuKkrA8polOJgIi+RYEn0m7/VLWPvEhUdZ48h77jlH//ANqQ/tKHTS9e2McOQLiuq/LAAAgAElEQVRLVhZhd538m7XPk+9fHoVGq+epdyc5nNSi/pPBFAlbvj6SfLckKEDLxPg+TIz//ZmXtdFJfvFhthz0JOVbDx5myY5y3E0JeUigjpSoXgxtSsZTo4LoF2LsVAl5vd3JzjIrO8os7GwqF9lZZqGktuHINQE6NQkRZjKSwkmMMJMYYWZwpJlws75T/bMIPnKkv7eyybe7vp6G7dsJval1U3g7A9M5l1L5fR7Wr98l+N5nFd/PYbeT9eArxOvS6Gvsxw5rDmP/+gdSIs5TfG+haxDJtyD40Ni/XMuqh9+jn34wax/9hAnPX9/utczp6ZQ/+xyOkhK0fVse6e7Tmu89S2DT5zDlAQhP8s2aSlGpIeV8WP8BNNSCofW/ZTDpNYwdEMLYAb9PELXZXWwrPczWg54n5JsP1vLOsj04mzLyXgbNkSfjocfVjh9/3PX486/yCVeceM2Jn594gbXRxa5yCzvKLOyvth15X6dRkRBuYvzA0KYE20RCuJnoYKPor92TFGZDYDiEDlJ0G9vmLeByEdCJ+3sfzzDlXDSBj2Bdupzge5Xda/3Hn6LK0ZJsHEdFQwmOYTZmXCemVArHEsm3IPjY2CeuYd1Dn9BPl8jqR99j/JM3tGsdU3oG5c8+hyUri5DLL2/xGrXkmTgpy7J3TzMdNs8hy5CBMLWLHAJKvRDWvAnbvocRf/RqKaNOzcjY3oyM7X3kvUani4JSa1PJiufro+x92J0K9VU/DY1KYlCYibSYYC4Z1Y+EpifZsSEBqEWSLRRme0pOFP6txpHhOmlpiu7jS5JKhWlYP2rXFuG21qIytb8k8GSslRWseewz4gOG4tI6ya9fy/Snb0UX0Lknawr+IZJvQfAxtUbDqKcuI++Rr4nWJbLhmY8Z9dDVbV5HP3AAuv79sWaePPluTrhdsguN5MV/zsufh+o9nhHy2i7SrzlmtGcA0JavvU6+W6LXqBkaE8TQmN9/UDtdbuyuE5NviWMTntbkP8dfc7o1VJIkkmyhZTVFcPgAxCn/hNWWk4Nu0CDUwcGK7+VL5tlnUbPqLeoXfoTpsrt9uvayZ14lpDSGwaYRHKzbS9BZ4cw+436f7iF0L524qFMQui6twUDKI3OotpfTpzKWLe9/1a51TBkZ1K1Zg8tqbfHz5iffXtV9l2/3DNQZdikMnN7+dTqaJHmefu9Z4jko2gE0ahUBOs0JX0ad+pgvg/b0X3rNsV86jeqYL6362C+ReAsnVZjteVX4sKXsdmPLze0S/b2PF3DONUgaGcuiH3y2Ztm2fJbe/jb9q4ahUxnYxmrGvXoVSWec4bM9hO5JJN+CoBBjeB9ib0qjzmUhYHsQexYubvMa5ox0cDioW7Gyxc9Vkuc/4XbXfbvdsPBu0JtgzpPtW8OfUi8E2QVb5/s7EkHwn8KVnnMP4cmKbmPftw9XbW2X6O99PJUpCFN8MNZN+5Hd3peOLf7zc9S8v5dB5mQKrTsIvCqSWU8/6INIhZ5AJN+CoKDeQxLodU44Llw4l9opXbOxTfcbhw9HHRSENSurxc+Prvlul5x/w/7VMPsJCPRXF1wvRKRAWBJs+cbfkQiC/xSugtgJnoPICjpS790Fk28A0/SpOOugYdmCdq+xM+s3Vt35EUnucbjcTnaaNzLl9ZuIHtY1/50I/iGSb0FQWMz08cij3WhVeiq/KKJ2b1Gr75U0GkzTp2FduhTZ6Tzx86NqvtvMUga//h/0nwLDfV8z3SEkCVIvgqJsqD3g72gEoeNZy6Fqpyf5Vlh9Tg7qoCB0/fsrvpcSTBfcAMhYF37e5nsddjuL7nkO1Y8uogL6U2DJJeaB0aQ/6tv6caFnEMm3IHSAxD/M5XBcBb20wex5ZRWNtTWtvteUnoGrpgZbbu4Jn3lV8/3Lnz1dTs5+UfEOCYpq7vMtnn4LPdGReu9Jim9ly8nFOHw4UmeeAXAKmthEjFF6rOvy23Tfxv9+zqYHvyHZMA6Lo5bSQXvIeP1OekVFKxSp0N11zf+CBKELSrv9UkrNewnTR5H32He4GuynvwkInDwZSavFknli6UlzzXebk++di2HLVzDlfuiT0LZ7O5vQQRA1wtP1RBB6mqJVoA2Avsq2/nPV1GDfvbvLlpw0M41Po6HciaPgxIcZx6s/dIjFd7xESG44Ifo+5NetJfmpsxh303UdEKnQnfkl+ZYk6WJJkrZKkuSWJGn0Ka77QJKkckmSthz3/rOSJG2XJGmTJEnzJUnqWj2PhB5r7F+uZT87iNIPYO1fPmnVPWpTIAHjxmHNzDzhs3YduLTXww/3QWgCTFZ44kRHSb0ISnKhare/IxGEjlW40tN2U9O+abqtZcvLA7puvXcz83lXAmD95v1TXrfixTfZ/XgWSaZRlDcUY5tSz+xX7xd9uwWf8NeT7y3ABcCy01z3EdBSz55fgVRZlocBBcAjPo1OEBQ09olrOGDfRT9NIqv/8l6r7jGlT8e+bx+Ne/Ye8367nnwv/RfUFMI5L4FG3/r7OrOU8wEJNrevpaMgdEm2Gijd0iElJ/U5OaBWYxyaqvheStKNnoG2F1iWr27x88pdu1hy+5vEliZjUAeQ71rNiOcuIfmcczs4UqE780vyLcvyNlmWd7TiumVAdQvvL5Jlufn02WogxschCoJimofwlDYWEe3wDOE5HXN6OsAJXU/aXPNdugWyX4URV0D/yW0LvDMLivb0ON7y1elntwtCd7F/DSAr3t8bPPXehqQkVF38ya+kUmEeMYj6vRbch8qP+WzxX5+n8s3txJtTKarbifHS3sx+9kG0OmV/qyD0PN2h5vs64Cd/ByEIbaE1GBjy8OxWD+HRRkWhHzIES9axpSdtevLd3NPb2Btm/aPdsXdaqRdCZQGUbTn9tYLQHRRmg0oL0Set3vQJ2enEtmlTly85aWaacw6yW8L6raf0ZO/K5WTf8SFJjrHIuCkIWMfk124gZvQ4P0cqdFeKJd+SJC2WJGlLC1/zfLjHo4AT+M8prrlJkqT1kiStr6io8NXWguC1wIgwYm9Ko95lxbg9iD3fnXoIjzk9HdvGHJyHDh15r0013+vfh4PrYc5TEBDiVeydUvI8kNSi9EToOQqzPYeNdco+jW4sKEC22brkZMuWBMy9EpVW5vCvi1h033O4vq0nJnAABZY8Iu5JI+P/7vN3iEI3p1jyLcvyTFmWU1v4an93+6NIknQNcDbwR/kUE0ZkWX5HluXRsiyPDgsL88XWguAzvYckYD43HDcuHMsaKVt78iE8powMcLuxLl165L1WP/k+XAK/PQ4D02HYJT6JvdMJ7AOD0j0tB0XpidDd2euheGOHlJzUNw3X6YqTLVsiGQKoHTaSsj43kqwbR53TwsG4AjJev4OQfnH+Dk/oAbpk2YkkSWcADwHnyrJc7+94BMEbMdPGIY92o1MZqPi8iNo9hS1eZ0hJRhMejvWoloOtrvn++U/gssPZL3Ttnt6nk3oR1BbBgXX+jkQQlHVwPbidHdbfWxMRgaZvX8X3UlpFSRmL/vQBEdE3EmKIYFvdOhIfn8OE227yd2hCD+KvVoPnS5J0AJgA/CBJ0i9N70dJkvTjUdd9BqwCBkuSdECSpOubPnoNMAO/SpKUK0nSWx38jyAIPnXMEJ5XV7c4hEeSJEzp6dStWIHb7ukR3qon3zt+hvwFMPVBCBmoSPydRtJZoNaL0hOh+yvMBiToN1bxrWw5ORhHjDgyUbcrcjqd/PTspxx6fgPJUgJFzgPYLw1n1qv3YTSb/R2e0MP4q9vJfFmWY2RZ1suyHCHL8pym94tlWZ571HWXybLcV5ZlbdP17ze9Hy/Lcj9Zloc3fd3ij38OQfCl1gzhMWek466vp37NWqAVNd+NVvjxAQgbAhPvUiz2TsPQCxJnw9b54G5D73NB6GoKV0JkKhiVHXPhKCvHcfAgAV243jt7wWLyHvyGoVVxNLgb2ZlyiCkvXMngkUP9HZrQQ3XJshNB6K48Q3gKTjqEJ2D8eCSjEWtT15PmspOTHntY8k+o3d/U07uHtMtKvQjqymHfcn9HIgjKcNph/7qOKTnJ9UyC7IqdTvbv3EPW/R8Rk60lWBPMpoDdJD51JulXip7dgn+J5FsQOpmxT1zNAfvuFofwqPR6TJMnYcnMQpblI78GbvHJd3EurH4DRl0LseM7IvTOIXEO6Eyi9ETovkrywGmD2AmKb2XLyUHS6zEkJSm+l680NDTw4+MfYn9nF4M0A9jt2ovupnjm/t81GAwGf4cnCCL5FoTO5vchPPubhvB8dMznpvQMnKWlNG7bdvIDl26Xp6d3QB+Y+ViHxN1paI2e2u9t34Gz0d/RCILvFa70vHbIcJ0cDENTkbrIoJmsjxew888/Maw+nhpnDQcmOkh/7hr6JXTz8y5ClyKSb0HohLQG/VFDeOLY8t7vT3FN06aCJGHJyjr5gcu170BJLpz5tOI1oZ1S6kXQUAu7M09/rSB0NUWrIDQBTOGKbuNubMSWn98lWgxuX5/Hivs+IWFbCHqVns2hhaQ9ewET5830d2iCcAKRfAtCJxUY0YfYm4d7hvDs+H0IjyY0FOPw4VgzT5J81x6AzCcgfhakXOCP0P1v4HTPJE9ReiJ0N24XFK6COOVLThq2bgWHo1PXe1sO1fLzox+g/7KSfpoYtsk76X3/KM588Ao0Go2/wxOEFonkWxA6sd5J8ZjnHTWEZ41nCI8pI52GrVtRV3paEh5T8/3jQ54f0Gc91717ep+KRueZeLnjR7DX+TsaQfCd8nxorO2g/t6e4TrG4Z2z08kvr33OgSeWkepKoMxRxqGzApj1r+sI6xvh79AE4ZRE8i0InVzM1HHIY/AM4fmiiNo9+zBnZACgX70ZOOrJ97aFsOMHSH8Eevf3U8SdROpF4KiHgp/9HYkg+E5htue1gyZb6uLi0ISEKL5XW2z4bSVr7v2MlAPRyMjkx5Uw/sXLGT5tnL9DE4RWEcm3IHQBiZecweG4yqYhPGuQQ0LQxsWiyfY8mXLLbmg47HnqHTEUxt/m54g7gbiJYIqEzV/7OxJB8J3CbOgVA8Gxim4jyzK2nNxOVXJSUVzG4oc+pM8iB+HaMLZodhL7t+nMvvUSf4cmCG0ikm9B6CLSbv8DpaZ9hOmj2PT4QgKmTEOdsw29/f/bu/P4qOp7/+OvzySTPSwhQCDs+xICKoriUtyoS60WXGqtilqt1VqtVu29tvdWf7W2WvXWXmvVKy6tu8VWrRtuUFlUkH0NW4BAEgiB7Mks398fM1XUIAFm5mR5P334yGTmzDnvyZeQNyffOV8XmXby3q+hejuc9QdI8nsd13u+JCiYAutmQv1XVwwVaXOci5TvBJz1DmzZQqiiolWU72AwyOu/fYrK+z5lhG8ImwObCVyYx2m/vpysTp28jidywFS+RdqQo3457bNFeDbtzMWaAhRudIR3rIlc4eSoK6HPEV7HbD0KzoVQE6x+zeskIoeuYn1kAakEXWIQIN3jlS3nzHibZbf8ncLdA6kP17OucDfH33cJww4r8DSXyKFQ+RZpY466cxpbm9bTL20kZRMuZXyRIzz/z5CdByf90ut4rUv+4ZG577rqibQHm/893zv+b7asW7QIX1YWqUOGxP1Yzdm4qogPbnqSfh+lkZ2UzbKs9Yy661tM+t5ZnuQRiSWVb5E2Jikp6bNFeAbnTWSY79uEdxXD6XdDmn4F+wVmUDAVNs6CmnKv04gcmuK5kYWzcofG/VD1ixaTPm4c5ktsTaivreeNXz1OePomBiUPoCi0gfRrhnP6L6bhT20bC/2I7I/Kt0gbtPciPEP7f5PabZfDSJ0RalbBueDCsPIfXicROTTFcyLX947zJURDNTU0rl2b8EsMvvv4DNb98i3GNAyhMriL7SeEOOn308gfOCChOUTiTeVbpI3K7JlLz4uHURWopDDjNN69/k8EAgGvY7U+PUdBj1GaeiJt256tsHtzYq7vvWQJOJew+d4r5i9izo1/Zfia7qT4/CzvUcy4e6Yy4cyTEnJ8kURT+RZpw/IOL6TXTRMoqd/E8IxCFtz4DBVbSryO1foUTIEt82H3Fq+TiByc4nmRj/3iv7Jl/aLFYEb62LFxPc6ObWW89R/TyZxRSX5yb1ZSRPdbjuK0G7U6pbRvKt8ibVxun3yOuPdC1tQvp2/mIErum8+Kt2d5Hat1KZga+bhihrc5RA5W8RxIyYa8MXE/VP2iRaQOG0ZSVlZc9l9duYc3/utx9ty/mNFuKNsD26n6djaTf3s5OT26x+WYIq2JyrdIO+D3+zn5Dz9iVcoKsv1dSHm7nll/eMrrWK1HziDIP0JTT6TtKp4L/Y6OXL8+jlwoRP2SJXGZctLQ0MDrdz7Jtjs/ZEzTEPYE97CucDfH3H8RhccdGfPjibRWKt8i7cipd1xNacEeQi7IgJK+vH3z/3odqfUomAqlS2FnkddJRA5M7U7YuSbyZss4a1y3nnBNDRkxXFwnGAzy5v1Ps/62tyisHkRDuJFVA7Yz9p4punSgdEgq3yLtzDGXTCHton5UNJUzKmksH1z3CPU1NV7H8t7oKYDBci03L23M5uh870S82fKzxXViU75nPvwSK275BwVl/QBjeY9iRt/9bU69+nzN65YOS3/yRdqhAYcXkjuoH5/+8iWGZI5kxW2vkveDsfQZM8rraN7p1AsGHBeZevKNW+N+uTaRmCmeC8lp0Dv+S73XL1pEUrdu+Pv2PaT9zHr2NTI/rmVkam9qfVUszV7PiTdcwOjM9BglFWm7dOZbpJ3K6tKFE/74A1YGltIjrRdVT6xjwXOveB3LWwVToKIoMv1EpK0ongt9joTk1Lgfqm7xItIPG4cd5D9OP/rne8z76TMMXtKZLsldWJZSRO/bjuOM26aRruItAqh8i7R7k++9lnW5G0jxpZKzMJ1373jY60jeGXUO+JI19UTajoaqyD8WE3CJwWBFBYHizQc133vph5/wrxufovfsZHr6e7DCisi+oZDT77ic7K6d45BWpO1S+RbpAE66+XJqJyVRF6plaO0IZl7/YMdckCcjBwafBMtnQDjsdRqR/dvycWSF1v4T436o+sWLgQOb7712yUre/9kTdH61lr7JfVgTXk/yFQP55l2X0zO/V7yiirRpKt8iHcTYM0+h+7Xj2F6/hZHphXx841/ZU1budazEK5gKe7bA1o+9TiKyf5vnRn5b0/eouB+qfvFi8PtJGz16v9uWbNzEzFsfJ+XpUgYnDWRjsJiG87txyj2X0W/44LhnFWnLVL5FOpCegwdw2N3nsbZuBf0zh7DprtmsnT3P61iJNeLMyJvXNPVE2oLiudBrLKRkxv1QdYsWkT5qFL7Ufc8t31W+gzdvm07Dn4oYaUMoCW5jx+RkJt17KSPGx3dFTJH2QuVbpINJSUvlpAeuZmXSMjqn5MArlXz40DNex0qc1GwY9k1Y8TKEgl6nEdm3QD2ULEzIlBPX1ETDsuX7nHJSU1XFG796nIq7F1IQGsrO4E6KJ9Rz7H3f54iT438JRJH2ROVbpIOafOc1lAzdgcPRZ2Meb//8Qa8jJU7BVKjdAZtme51EZN9KFkKoKSHX925YvRrX2PiV8t3Q0MAbdz3J1ttnM6ZhCNXhaopG7mLC/Rdy7Hcmxz2XSHuk8i3SgR175QX4pvRgd1MFoyjk/ev+TFN9g9ex4m/oZEjJ1tQTad2Ko1PC+k6I+6E+W1xnXGRZ+WAwyFsPPMu6295kzJ5BBFyAFX1LKLz7O5x46dlxzyPSnql8i3RwQyceyeBfnMym2iKGZo5m8a0vUbp2ndex4sufDiO/BStfhWCj12lEmlc8B3qMjlylJ87qFi3Gn5+Pv2cP3n1sBstu+Tujt/UhiSSW5WxixF1n8s1rv6tVKUViQOVbRMjOzWHCfRezqnEpeel9qfjzCha//KbXseKrYCo07oF173idROSrQsHIZQYTMd/bOeo//ZTS4RP55KfPMbyoO5m+TJZmrKff7Sdy+i0X409NiXsOkY5C5VtEAPD7/Zx6/7UUdSoiLSmD7Lk+3vvt/3kdK34GTYL0HE09kdapdAkEahNSvuc+9DSVhVcwoNOp5CTnsDypiO63HsUZ/zWNzKysuB9fpKNR+RaRLzj5th9QOaGJxlA9QyqHMvOn/4tzzutYsZfkh9HnwJo3oKnW6zQiX1Q8N/IxTuU7EAjwzq8fYeH1z9F/c3+6Z+SzKrSW9GtHctqdl9O1e7e4HFdEVL5FpBnjzz2TTleOoKyhhJGpY/nwuunU7Kr0OlbsFUyFQF2kgIu0JsVzIWcQZOfFdLc1lZW8fcuDrLn1n4yoGUknf2dW1y3Df3EvTr3nCnoP6BvT44nIV6l8i0iz+owcTsFvzqaodiUDs4ZRdMdMNn78qdexYqvfRMjurakn0rqEw7B5XkzPepesXss71z/ItjvnMcpXiGGsDC6h5y1HcsoD19BnzKiYHUtEvp7Kt4jsU3pmJif+8YesdEvJSelO4/PbmfPYC17Hih2fDwqmQNFMqG+HZ/albdqxOvLnsd+hl+8Vb8/ig+seoXH6ZkakF1ITrGZ1+kqG/e4MJv/+x3TqkRuDwCJyIFS+RWS/Jv/uWor7l+AzH73XdOPtXzzkdaTYKZgC4QCsetXrJCIRxXMiHw/hzPecx15g7nVPkP2uY1DGcMrqt7Gx32YO/58LOOW/f4jf749RWBE5UCrfItIiJ1z7fUJndKI6sJtRwQLe/cmfCAQCXsc6dL0Ph64DYdlLXicRiSieG5kO1XXAAT0tEAjwzm8eZcH1z9K/qBe90vuyqa6IyuMCHPPHSzj+movik1dEDoiuli8iLTbypGPZNaqU1Xe+yfDMMSy+6UXs2GzGX3CW19EOnhmMORf+dS9Ul0F2T68TSUfm3Ofzvc1a9JSaykrm/O4Zejf2YkTqCOpTallTt4whlx3HCYedHOfAInKgdOZbRA5ITl4eR953EasalpKb1pMen2Yz+7pH2bRgidfRDl7BVHBhWPl3r5NIR1e5Eaq3t2jKSWnRembe8CAld85lNIUkWTIrA0vpdtM4Tn7gGvofVpiAwCJyoFS+ReSA+f1+Tv2fawl8O4viuvUMyBhG+PlyZl7/IFXlO7yOd+B6jIws462pJ+K1z67vfew+N1n13oe8f93D1D2ygZFphdQFa1mVuoIhd05m8r3XkpMX28sTikhsadqJiBy0YcdNYNhxE5j3+Ev4FwcYmV7Itt99xPy0zZz4qyvb1pu6xkyFd++AymLo2t/rNNJRFc+D9K6QO/wrD3301xkEP9pDn4yBDM4Ywbb6zTQNNU647vseBBWRg6XyLSKH7JjLzgXg3f/3MHmVeYwKjWHFzX+nanBj2ykGo6dEyveKGXDcT71OIx1V8ZzIJQZ9kV9MBwIB/nXfU2SXpJOf0ZdgeheK69aRNSmfo6de7HFYETkY1i6Xjd6H8ePHuwULFngdQ6Rdq6uq5sPbn2SQbyhpSRlsqd1A1hl9GHN6G3jj16MnQ7ARfvSh10mkI6raDveNgMl3UldwKR/+5inyGvPISe1BQ6iO4sYNDL5kIgPGj/U6qYi0gJktdM6N//L9mvMtIjGV0Smbyff+mKyrhlBUu4Je6X3Jft94/7qHKVm91ut4X2/MuVC2DHas8TqJdESb51LWmMPM58Jsvn02oyjE7/OzMrCErjeM4eQHfqTiLdIO6My3iMTVsjfepfr1LfTLHExDqI4NoSKO+9WlZHTK9jraV1WXwr0j4Bu3wIn/6XUa6UDmP/wYDUsb6ZsxlNSkNHY2lFKevZNJ/3kZKelpXscTkYOwrzPfKt8ikhCzH/wr2UUpdE/rxZ6mXWzvUsop//VDr2N91RPfgqptcN3CFl9nWeRgbPzXLNa9sJCeyQPISe1O2IXYXreF+sFhJt1wqdfxROQQqXyj8i3itUAgwPu3P0rf+n5k+ztTVr+VprHJHHP5eV5H+9zCJ+DV6+GqWdB7nNdppJ2pLitj3n1P0aW+Fz3T+5BkSVQ27qA0uIkBU8Yx9MSTvI4oIjGi8o3Kt0hrUb1zF/N//SyD/MPw+1LYXLeeHueNYtgJR3sdDep2we+HwtE/gsm/9jqNtAOBpibm/++juPV+8jMGkJqUTn2olpK6TaSO9nHMNVd5HVFE4kDlG5VvkdameNFSNj32EQMzhxJyITY0rGHcrefQLb+3t8GePh/KlsMNyz+75JvIgVr1z9cpeWMtvVIG0jklh1A4yPb6LdRklzPx5ivI6NrV64giEkcq36h8i7RWC158jdC/dpOf0Z+6YDUbfRs48fYfePdGs6UvwIwr4bI3of8x3mSQNqli0wYWPvA3ckJ96JHWG5/5qGgooyxczIiLj6PfkRO8jigiCaLyjcq3SGv33t3Tyd3ehZzU7uxqLGdn7z2cdPPliQ/SWAP3DIHDLoIz70388aVNCTQ1MeeeP5G8PZveGf1J8aVSG6xiW/0mso/sxPhpWgxHpCNS+UblW6QtaKpv4IP/fowB4YFkJGdTUldM0vFdGH/etxIb5IVLYdOHcNMaSNJiwPJVS154kZ2zSumdNpBsf2cC4Sa2122mPreS42+5mpSMDK8jioiHVL5R+RZpS3Zu3sKS37/KoLTh+CyJTbVFDLhiAv0PK0xMgFWvwvPfh+/PgCFtYHVOSYjSFctY+uhbdKcf3dN6AVDesI2dbGHsD8+g58hRHicUkdZC5RuVb5G2aO3s+ZS/uJJ+GYMJhJvYEFjL0b+4kOzcnPgeONAQuerJyLPgnD/F91jSqtVXVzP3nkdIr8yhd3p/kn1+qgO72da4ke6T8ik8d6rXEUWkFVL5RuVbpC2bN/1FUpaE6JmeT01gDyWBLXQ+tg/jLzgrfgd9+Uew+jX4WRH4tcpgR/Px9CepXVhDfnpkClRTqIGS+mJCfeo49sar8aekeB1RRFoxlW9UvkXaukAgwBVmUocAABBeSURBVKzfPEZuZTdy0/IAqGzcSXloO12/MZDDp54e2wOuewf+OhUueBpGJnjOuXhi8XPPs2NuCT2S+tEttSdhF6asvoTKlBLGX38+OX37ex1RRNoIlW9UvkXakxVvz2Lb68vpQU+6pfUEYFfjDsrDpXQ/ZRhjzzrl0A8SCsK9w2DgCXDeE4e+P2l1ti78hFXPf0BaXRdyU/PI9ncBYHdTBdsDG+l/1iiGTf6mxylFpC1S+UblW6S9WvrPdyh7ew09fXnkpPYAYFdjOWXhUnqdPpqC0yYd/M5fuxEWPwM3r4PUrNgEFs/U7NzBJw8/jduWTDd/Hl1Tu+MzH4FwEzsbStntyug0NofDL/meppWIyCFR+UblW6QjWPyPt9j53np6+iLFCqCioYxyysg/cwyjTj3hwHZYPBcePx2m/B8UnheHxBJPgaYmljzzHJWf7qQzPeieloffl0rYhdndtJOKplJcXoAjr7qQ7J49vY4rIu2Iyjcq3yIdzcKX/snu2cX0TO5Fl5RcnHPsbCxlp5XT/zvjGXbC0fvfSTgM/1MAeWPge8/HP7QcsuJ5c1jztzlkNHSje1oemcmdAKgJVLGzcTt1aZUMn3oc/Y/R6qUiEj8q36h8i3RkHz/7CtXzSshL7kXnlG4459jRuJ0K3w4GnDuBoROP3PeT37oNPnoYfrYWMuJ8iUM5YNVlpXzy0DPYjlS6peTRNaU7ZkZTuDEylYQyuh2VR+EF5+P3+72OKyIdhMo3Kt8iEjH/yb9Rt6CcPH8+nVK6EnZhdjRspyJ5J0MvmMjAow7/4hO2LYJHJsFZD8ARl3qSWT4XaGri0yf+QtWyKrpYT3LTeuL3pRB2YXY1lrMrUIqvr+OoH15MRteuXscVkQ5K5RuVbxH5okAgwIK//J2GRRXkpeST7e9C2IUpb9jGLn8FIy6eRL+xBeAc/PEI6JwPl77qdewOqei9mWx4bTFZTd3ontaLjOTIm1+rA5XsaCylMauKkReeTJ+xh3mcVEQkQuUblW8R2bdAIMDH01+iaXkVvVLyyfJ3JuRClNdvozJtF6PGltOn6AG4aTVk53kdt93buugT1syYRdKuzMhUktRcABpD9exoKKXKV07e8QO1uqSItFoq36h8i0jLBAIB5j/6AqFVtfRKzSczuRMhF6SsvoQ9oVIsO0yX4d0ZcebpZPVQET9YdZW7WPXq61Su2o6r9pNOFpnJncjydyI9KROAkAtR0VhGZbCMlIFJjL/qEtKzsz1OLiKyfyrfqHyLyIELBALMfehZKGogL7UPmcmfF7+wC1EbrKYmUEVdqJpGXy2+rmHyxg1g2DdPJyVT1wUH2PzRPDa89zFNZQH8gQwykrLJipbsJEv+bLvGUD3VgT3UBquopxo6Bxkz7Sx6Dh3uYXoRkYOj8o3Kt4gcuk3z5rNp9gKaShvwN6WT7ssmy59NVnJnkn2fX0kjGA5QE6yiNlBFXbiagL8Of3c/fSeOof+xx7e7BVxqdu5g9WtvULm6DKvxk8bnBTstKeOz7cIuRE2gippgFXWhKpqS60jJS2HAN8YzYOJED1+BiEhsqXyj8i0i8dNUV0/Re+9TunANoV1hUoOZZCRlk+mPlFCfJX2+baiBmmAVNcFq6sPVhNIayOiTwZBTjyevoNDDV7EfzrFp7ods/GAhgfIgKcEMMpIiBfvLr7EhVPdZyW6gGpcVpOvIPEZ86zSyuuV6+CJERBJD5RuVbxHxRt3uPax67XUqV27DVftIc5nR0ppNRlI2ZvbZtvXB2sgZ82A1DVQTzgzQeXA3+h97JKFQmGBtLU0N9YQamwg2NBFsaCDYGCAUCBJuaiIcCBMOhggFQxAMEw6GCYcdFnS4sMM5cCHAgQuDOYNw5HPDwEX+j/znw5yRahlkJnci29+Z1KT0z7KGXIiawJ7oWezI2f2UXikMOnkC/cZPSPwXWkSkFVH5RuVbRFqfiuKNrH3jParXV+Kr/+KbDveeruGl+lAtNYGq6FzsGqxTkK6jejHyW2eS0aWL1/FERFqlfZXv5OY2FhGRxOjWfyDHXH1Fs49tXbyQje/Op66kjqSmFBwOLAzmcADmwACfA1/0SUmG+RzmMyzJwGf4kn1Ysg9fUhJJKT5ITiI5xU+SP5mkFD/Jaakkp6aSlJZCSnoayRkZ+DMzSc/MJjkjQwVbRCSGVL5FRFqpPuOOoM+4I7yOISIiMeTb/yYiIiIiIhILKt8iIiIiIgmi8i0iIiIikiAq3yIiIiIiCaLyLSIiIiKSICrfIiIiIiIJ4kn5NrPzzGyFmYXN7CsXH99ru+lmVm5my/fx+E1m5sxMaxWLiIiISKvn1Znv5cAUYPZ+tnsCOK25B8ysLzAZ2BzTZCIiIiIiceJJ+XbOrXLOrWnBdrOBXft4+H7gFogs9CYiIiIi0tq1yTnfZnY2UOKcW+J1FhERERGRlorb8vJm9g6Q18xDtznn/nEI+80A/pPIlJOWbH8VcFX00xoz2+8Z9zjIBXZ6cFxJLI1zx6Bx7hg0zu2fxrhj8HKc+zd3Z9zKt3PulDjtejAwEFhiZgB9gE/N7CjnXGkzOR4BHolTlhYxswXOuX2+sVTaB41zx6Bx7hg0zu2fxrhjaI3jHLfyHS/OuWVAj39/bmabgPHOOf3rVURERERaNa8uNfgdM9sKHAP808zeit7f28xe32u7Z4F5wHAz22pmV3iRV0REREQkFjw58+2cexl4uZn7twFn7PX5hS3Y14CYhosPT6e9SMJonDsGjXPHoHFu/zTGHUOrG2dzTlfqExERERFJhDZ5qUERERERkbZI5TuGzOw0M1tjZuvM7OfNPD7NzHaY2eLo/z/wIqccmv2Nc3Sb881spZmtMLNnEp1RDl0Lvp/v3+t7ea2Z7fYipxy8FoxxPzN738wWmdlSMzujuf1I69aCce5vZu9Gx/gDM+vjRU45eGY23czKzWz5Ph43M3sg+mdgqZkdnuiMX8ijaSexYWZJwFrgVGAr8AlwoXNu5V7bTCNyZZYfexJSDlkLx3ko8AJwknOu0sx6OOfKPQksB6Ul4/yl7a8DDnPOXZ64lHIoWvi9/AiwyDn3kJmNAl5vI+8zkqgWjvOLwGvOuSfN7CTgMufcxZ4EloNiZicANcBTzrmCZh4/A7iOyPsKJwB/cM5NSGzKz+nMd+wcBaxzzm1wzjUBzwFne5xJYq8l43wl8KBzrhJAxbtNOtDv5wuBZxOSTGKlJWPsgE7R252BbQnMJ7HRknEeBbwXvf1+M49LK+ecmw3s+ppNziZSzJ1zbj7Qxcx6JSbdV6l8x04+sGWvz7dG7/uyqdFfebxkZn0TE01iqCXjPAwYZmZzzGy+mZ2WsHQSKy39fsbM+hNZ+Ou95h6XVqslY/wr4PvRS+O+TuTMmbQtLRnnJcCU6O3vANlm1i0B2SRxWvx3eiKofCfWq8AA51whMBN40uM8Eh/JwFBgEpEzoo+aWRdPE0k8fRd4yTkX8jqIxNyFwBPOuT5Efl39FzPTz83252fAN8xsEfANoATQ97PEjf4SiZ0SYO8z2X2i933GOVfhnGuMfvp/wBEJyiaxs99xJvIv6leccwHn3EYi8w2HJiifxEZLxvnfvoumnLRFLRnjK4i8fwPn3DwgDchNSDqJlZb8bN7mnJvinDsMuC16n95A3b4cyN/pcafyHTufAEPNbKCZpRD5gfzK3ht8aX7Rt4FVCcwnsbHfcQb+TuSsN2aWS2QayoZEhpRD1pJxxsxGAF2JrMQrbUtLxngzcDKAmY0kUr53JDSlHKqW/GzO3es3Gv8BTE9wRom/V4BLolc9ORrY45zb7lUYT1a4bI+cc0Ez+zHwFpAETHfOrTCzO4AFzrlXgJ+Y2beBIJE3BkzzLLAclBaO81vAZDNbSeRXlzc75yq8Sy0HqoXjDJEf5M85XTaqzWnhGN9EZNrYT4m8+XKaxrptaeE4TwLuMjMHzAau9SywHBQze5bIOOZG36Px34AfwDn3ZyLv2TgDWAfUAZd5kzRClxoUEREREUkQTTsREREREUkQlW8RERERkQRR+RYRERERSRCVbxERERGRBFH5FhERERFJEJVvEZE4MLOaFmxzg5llxPCY55jZqBjub+4hPLcm+rG3mb30Ndt1MbNrDvY4IiJtjcq3iIh3bgAOqHybWdLXPHwOELPy7ZybGIN9bHPOnfs1m3QBVL5FpMNQ+RYRiSMzm2RmH5jZS2a22syejq6y9hOgN/C+mb0f3Xaymc0zs0/N7EUzy4rev8nMfmdmnwLnmdmVZvaJmS0xs7+ZWYaZTSSycu49ZrbYzAab2Tgzm29mS83sZTPrGt3fB2Z2v5ktMLNVZnakmc0wsyIz+/Ve2Wv2un2rmS2LHvO3zbzOgdHsy760jwFmtjx6e7SZfRzNt9TMhgK/BQZH77vHzLLM7N3o12CZmZ29135WmdmjZrbCzN42s/ToY0PM7J1otk/NbHD0/pujX6elZnZ7TAdWROQgqXyLiMTfYUTOco8CBgHHOuceALYBJzrnTjSzXOAXwCnOucOBBcCNe+2jwjl3uHPuOWCGc+5I59xYYBVwhXNuLpEllG92zo1zzq0HngJudc4VAsuIrPr2b03OufHAn4F/EFnVrwCYZmbd9g5vZqcDZwMTose8u5nX+AfgIefcGGBfyzZfDfzBOTcOGA9sBX4OrI9mvhloAL4T/RqcCNxrZhZ9/lDgQefcaGA3MDV6/9PR+8cCE4HtZjY5uv1RwDjgCDM7YR+5REQSRsvLi4jE38fOua0AZrYYGAB8+KVtjiZSzudEu2YKMG+vx5/f63ZB9OxyFyCLyNLZX2BmnYEuzrlZ0bueBF7ca5NXoh+XASucc9ujz9sA9AUq9tr2FOBx51wdgHNuVzOv8Vg+L8N/AX7XzDbzgNvMrA+Rf0AUfd6rP48O/CZalMNAPtAz+thG59zi6O2FwAAzywbynXMvR7M1RF/HZGAysCi6fRaRMj67mVwiIgmj8i0iEn+Ne90O0fzfvQbMdM5duI991O51+wngHOfcEjObBkw6hEzhL+UL7yNfS7ivfdC5Z8zsI+BM4HUz+yGw4UubXQR0B45wzgXMbBOQ9qXMEPk6pn/N4Qy4yzn38AHkFxGJO007ERHxTjWQHb09HzjWzIYAmFmmmQ3bx/OyiUyt8BMpq1/Zn3NuD1BpZsdHH7sYmMXBmQlc9u8rs5hZTjPbzAG+G719UTOPY2aDgA3RKTf/AAr54tcAoDNQHi3eJwL9vy6Yc64a2Gpm50SPkRrN+RZw+V7z5vPNrEeLXq2ISBypfIuIeOcR4E0ze985twOYBjxrZkuJTNEYsY/n/RL4iEjhXb3X/c8BN5vZouibDi8l8gbMpUTmPd9xMCGdc28SmaayIDpt5mfNbHY9cK2ZLSMyVaQ55wPLo/soAJ5yzlUQmWqz3MzuITJ/e3x0P5d86fXty8XAT6Kvcy6Q55x7G3gGmBfd10t8seSLiHjCnPva3xKKiIiIiEiM6My3iIiIiEiCqHyLiIiIiCSIyreIiIiISIKofIuIiIiIJIjKt4iIiIhIgqh8i4iIiIgkiMq3iIiIiEiCqHyLiIiIiCTI/wfDosYJSYI2ywAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "pylab.ylim(-1.14, -1.04)\n",
    "pylab.plot(distances, hf_energies, label='Hartree-Fock')\n",
    "for j in range(len(algorithms)):\n",
    "    for k in range(len(mappings)):\n",
    "        pylab.plot(distances, energies[k][j], label=algorithms[j] + \", \" + mappings[k].value)\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('H2 Ground State Energy in different mappings')\n",
    "pylab.legend(loc='upper right')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PPPNMrvOIjIyke/fuNrBOYQlKQCykc6MquDgaWBaVi2qsDB+ImnNFUbRITU3NVkBSU60zPUW/fv2IiooiKiqKn37KaUJHRWFDCYiFuLs48ljDSiw/eInUNAurpJQPRFEI+eOPP2jRogVNmjShY8eOXLlyBYCJEyfy9NNPExYWxtNPP83bb7/N/PnzCQ4OZv78+Q+Fp6Wl8dprr9G8eXMCAwOZOnVqxj4+++yzjO3vvGNuFtesiYqKomXLlgQGBtKrVy9u3dJK/SdPnqRjx44EBQUREhLCqVOnHki3a9cumjRp8tB2he1QzXhzQURQVVYcvMzWUzd4xO+hccUeRghAKB9ICebdPw4TffG2VfP09ynDO080yjZOYmIiwcHBGes3b94kIiICgDZt2rB9+3aEEPz44498+umnfPHFFwBER0ezefNmSpUqxaxZs9i9ezfffPMNoAmMafi0adPw9PRk165dJCUlERYWRufOnTlx4gQnTpxg586dSCmJiIhg48aNPPLIIw/ZOX/+fDZv3gzA+PHjGTZsGM888wyTJ0+mXbt2vP3227z77rt8/fXXDBo0iAkTJtCrVy/u37+P0Wjk/HltrNWtW7cyduxYli5dSo0aNfJ/khUWoQQkF7SvXxEPF0eW7b9omYCAVgpRPhBFAVOqVCmioqIy1tPFALR+Kv369ePSpUskJyc/0OY/IiKCUqVKZZmvafjq1as5cOAAixYtAiA+Pp4TJ06wevVqVq9eTZMmTQC4e/cuJ06cMCsg/fr1yxCo9Dzi4uJo106baXXIkCH07duXO3fucOHCBXr16gVoHd7SOXLkCCNHjmT16tX4+Pjk7kQp8oUSkFzg6uRAeEAVVh26zPs9A3B1csg5kcFBlUBKMDmVFOzB2LFjeeWVV4iIiCAyMpKJEydmhJUuXTrbtKbhUkomT55MeHj4A3FWrVrFG2+8wahRox7Y/u233/LDDz8AWNU57+3tzf3799m3b58SkAJG+UBySY9gH+4kpRJ57KplCYRB+UAUhYr4+HiqVq0KwOzZs7OM5+HhwZ07WXeeDQ8PZ8qUKaSkpABw/Phx7t27R3h4ODNmzODuXW2W2gsXLnD16lVGjx6d4TDP6kXv6elJuXLl2LRpEwA///wz7dq1w8PDg2rVqrFkyRIAkpKSSEhIAKBs2bIsX76cN954g8jIyNydDEW+UAKSS1rVLk8Fd2fLOxUKVQJRFC4mTpxI3759adq0KRUqVMgyXocOHYiOjs5womdmxIgR+Pv7ExISQkBAAKNGjSI1NZXOnTszcOBAWrVqRePGjenTp0+2QpSZ2bNn89prrxEYGEhUVBRvv/02oInJpEmTCAwMpHXr1ly+fDkjTeXKlfnzzz8ZPXo0O3bsyMXZUOQHu82Jbg+sNaHUO0sPMW/XeXa/1REP1xwGHfuwGoQ8DV0+yvd+FUWDI0eO0LBhQ3uboVDkCXP3rxBij5SyWea4qgSSByKCfUhKNbIm+krOkYVBlUAUCkWxRAlIHgipUY5q5Uqx1JJOhQblA1EoFMUTJSB5QAjBE0E+bD55nRt3k3KIrEogCoWieKIEJI9EBPmQZpSsOHQ5+4jKia5QKIopSkDySIMqHvhVdmdZ1IXsI6qOhAqFopiiBCSPCCGICPJhV8wtLsQlZh1RdSRUKBTFFCUg+eCJIK0z1J/Z9QkRBjAqAVEUHB06dGDVqlUPbPv666954YUXOHz4MI8++ij169enTp06vPPOOxj1+zPz8OrBwcFER0fb4xAURQQlIPmgZvnSBFUvm31rLOVEVxQwAwYMYN68eQ9smzdvHv379yciIoIJEyZw7NgxDh48yM6dO/nf//6XEc90ePWoqCj8/f0L2nxFEUIJSD7pEeRD9KXbnLx613wE5QNRFDB9+vRh+fLlJCcnAxATE8PFixc5efJkxoi5AG5ubnzzzTd89tln9jRXUYRRgynmk+6B3ry/PJpl+y/ySie/hyMoH0jJZuUEuHzQunlWaQxdP84y2MvLi9DQUFauXEmPHj2YN28eTz31FIcPH6Zp06YPxK1Tpw6JiYnExcUBDw6vDrBt27ZsR+dVlGxUCSSfVCrjSsva5VkWdcH8fOlqMEWFHTCtxpo3bx4DBgywKF3mKiwlHorsUCUQKxAR5MOExQc5eCGewGplHwxU/UBKNtmUFGxJjx49ePnll9m7dy8JCQk0bdqUffv2sXHjxgfinT59mvLly1O2bNksclIoskaVQKxA1wBvnByE+fnSlRNdYQfc3d3p0KEDw4cPzyh9DBo0iM2bN7N27VpAm7Vw3LhxvPvuu/Y0VVGEUQJiAfuv7Wfh8YVZhnu6OdHOrxJ/HLhImjFTNZZBCYjCPgwYMID9+/dnCEipUqVYtmwZH3zwAX5+flSoUIGwsDAGDRqUkSZ9DvT039atW+1lvqIIoKqwLGDlmZUsPLaQrr5dcXd2NxsnItiHtUeusPPMTVrVKf9PgPKBKOxEz549H/LLBQQE8PfffwOwZMkSXnnlFQYOHEjNmjUZOnQoQ4cOtYOliqKKKoFYQBffLiQbk4mMjcwyTseGlXBzdnh4oinlA1EUUnr27Mnp06epWbOmvU1RFFGUgFhAYMVAKrtVZlXMqizjuDk70sm/MisPXSI51UQwVD8QhUJRTFECYgEGYaCzb2e2XNjC7eTbWcaLCPIhLiGFTSeumSRWJRCFQlE8UQJiIV18u5BiTCHyfGSWcdrWq4hnKacHq7GUD0ShUBRTlIBYSOMKjfEu7Z1tNZazo4Fujb1ZE32FhORUbaMwQAmad16hUJQclIBYiBCCcN9wtl7cSnxSfJbxIoJ8SEhOY+2Rq3pC5QNRKBTFEyUguaCLbxdSjamsP7c+yzihtbyoXMbln06FqiOhwg4IIXj11Vcz1j///HMmTpxolbwnTpxI1apVCQ4OJiAggGXLlmUbf+jQobi5uXHnzp2MbS+99BJCCK5fvw5A69atc9zviBEjCnR4+cjISDw9PR/oF5PeCdMSe22Nu7v5LgUFiV0ERAjRVwhxWAhhFEI0yyZeFyHEMSHESSHEBJPtQgjxgRDiuBDiiBBiXEHY7V/en6ruVVl1NutqLAeD4IlAHzYcv0p8QormRFc+EEUB4+LiwuLFizNe0Nbm5ZdfJioqioULFzJ8+PCMOUWyom7duixduhQAo9HI+vXrqVq1aka4JR0Wf/zxxwIfXr5t27YPjA3WsWNHwDJ7iwKpqan5Sm+vEsghoDewMasIQggH4FugK+APDBBCpN89Q4HqQAMpZUNgntlMrEx6NdaOizuIux+XZbyIYB9S0iR/Hb6kSiAKu+Do6MjIkSP56quvHgobOnQoixYtylhP/5KNjIykXbt29OjRg9q1azNhwgR+/fVXQkNDady4MadOnXoor4YNG+Lo6Mj58+epVasWKSkpANy+ffuB9f79+zN//vyM/YSFheHo+E8/ZlMb2rdvT58+fWjQoAGDBg3K6AzZvn17du/enRH/tddeo1GjRnTs2JGdO3fSvn17ateunVEimjVrFmPGjMnYR/fu3YmMjLQ4fXak22s0GnnxxRdp0KABnTp1olu3bhnnds+ePbRr146mTZsSHh7OpUuXMo7j9ddfJzQ0FD8/PzZt2gTA4cOHCQ0NJTg4mMDAQE6cOAHAl19+SUBAAAEBAXz99dcP2dK/f3+WL1+esZ5+fdPS0njttddo3rw5gYGBTJ06NeMct23bloiIiHwLsl16okspj4D2Qs6GUOCklPK0Hnce0AOIBl4ABkqpvZmllFdtarAJXXy7MOPQDNadW8eTfk+ajdO4qie+5d1YGnWRfm4OygdSgvlk5yccvXnUqnk28GrA66Gv5xhv9OjRBAYG8u9//9vivPfv38+RI0fw8vKidu3ajBgxImPSqcmTJz/0AtuxYwcGg4EaNWrQvn17li9fTs+ePZk3bx69e/fGyckJAD8/P5YtW8atW7eYO3cugwcPZuXKlWZt2LdvH4cPH8bHx4ewsDC2bNlCmzZtHohz7949Hn30UT777DN69erFW2+9xZo1a4iOjmbIkCFERERke5yWpt+0aRPBwcEZ6X777Tfq1KmTsb548WJiYmKIjo7m6tWrNGzYkOHDh5OSksLYsWNZunQpFStWZP78+bz55pvMmDED0L78d+7cyYoVK3j33XdZu3Yt33//PePHj2fQoEEkJyeTlpbGnj17mDlzJjt27EBKSYsWLWjXrh1NmjTJsKFfv34sWLCAxx9/nOTkZNatW8eUKVOYPn06np6e7Nq1i6SkpAfmgtm7dy+HDh2iVq1a2Z6nnCjMQ5lUBc6brMcCLfTlOkA/IUQv4BowTkp5wlwmQoiRwEiAGjVq5NuoBl4NqOFRg1Uxq7IUkPT50if/fZKkhhIXVQJR2IEyZcrwzDPPMGnSJIuHZW/evDne3t6ANldI+guncePGGUOgAHz11Vf88ssveHh4MH/+fIQQjBgxgk8//ZSePXsyc+ZMfvjhhwfy7t27N/PmzWPHjh0ZX8PmCA0NpVq1agAEBwcTExPzkIA4OzvTpUuXDNtcXFxwcnKicePGxMTE5HiclqZv27Ytf/75Z5b5bN68mb59+2IwGKhSpQodOnQA4NixYxw6dIhOnToBkJaWlnFe088FQNOmTTP216pVKz744ANiY2Pp3bs39erVY/PmzfTq1YvSpUtnpNu0adMDAtK1a1fGjx9PUlISf/31F4888gilSpVi9erVHDhwIKNEFB8fz4kTJ3B2diY0NDTf4gE2FBAhxFqgipmgN6WUS/OZvQtwX0rZTAjRG5gBtDUXUUo5DZgG0KxZs3y3p02vxppxaAY379/Ey9XLbLyIYB8mrT/J5Tsp1DSoZrwlFUtKCrbkpZdeIiQkhGHDhmVsc3R0zPBZGI3GjJkLQfOdpGMwGDLWDQbDA/XlL7/8Mv/6178e2FdYWBgxMTFERkaSlpZGQEDAA+H9+vWjadOmDBkyBIMh69pzUxscHBzM1tM7OTll1GBkZafpcQLcv38/V+nzg5SSRo0asW3bNrPh6fszPb6BAwfSokULli9fTrdu3bIVWVNcXV1p3749q1atYv78+fTv3z/DhsmTJxMeHv5A/MjIyAxByi8284FIKTtKKQPM/CwVjwtofo50qunbQCuNLNaXfwcCrWO1ZYT7hpMm01h7dm2WcepW8sDfuwwX4pOUE11hN7y8vHjqqaeYPn16xjZfX1/27NkDwLJlyzL8FNbgmWeeYeDAgQ8IVjo1a9bkgw8+4MUXX7Ta/rLD19eXqKgojEYj58+fZ+fOnVbfR1hYGL/99htGo5ErV65k+Fjq16/PtWvXMgQkJSWFw4cPZ5vX6dOnqV27NuPGjaNHjx4cOHCAtm3bsmTJEhISErh37x6///47bds+/K3cr18/Zs6cyaZNmzJKVuHh4UyZMiXj+h4/fpx79+5Z8egLdzPeXUA9IUQtIYQz0B9I924tATroy+2A4wVpmF85P3zL+LI6ZnW28SKCfbiZmEayFb5oFIq88uqrrz7QGuu5555jw4YNBAUFsW3bNqt9jYI258itW7eynAFx1KhRD/gQbElYWBi1atXC39+fcePGERISkus80n0g6T/TxgcATz75JNWqVcPf35/BgwcTEhKCp6cnzs7OLFq0iNdff52goCCLhsZfsGABAQEBBAcHc+jQIZ555hlCQkIYOnQooaGhtGjRghEjRjxQfZVO586d2bBhAx07dsTZ2RnQmj37+/sTEhJCQEAAo0aNskrp6gGklAX+A3qhlSKSgCvAKn27D7DCJF43NHE4hVb1lb69LLAcOAhsA4Is2W/Tpk2ltZi8d7IMnB0oryVcyzJO7K0EueytzvLmxwFW26+i8BMdHW1vE+zGwoUL5eDBg+1tRoFy584dKaWU169fl7Vr15aXLl2ys0X5w9z9C+yWZt6p9mqF9Tta1VPm7RfRRCN9fQWwwky8OOBxW9qYE+G+4Uw9MJW1Z9fSv0F/s3Gqli3F6dKuJCSlUFbKnFqdKRRFmrFjx7Jy5UpWrHjokS3WdO/enbi4OJKTk/nvf/9LlSrmXL/Fk8LcCqtQU69cPep41mFVzKosBQSgqpc7abGpHIiNJ6i6mndaUXyZPFC/6F8AACAASURBVHmyvU2wC+l+j5JIYfaBFHrCfcPZc2UPVxOy7oZS3csdBwEzt5wpQMsU9kaqATQVRZDc3rdKQPJBuG84Esmas2uyjOPk6Ii7s+DPA5e4cvt+lvEUxQdXV1du3LihRERRpJBScuPGDVxdXS1Oo6qw8kHtsrWpV64eq2NWM6jhIPORDAZKOxtIuyv5edtZ/hVev2CNVBQ41apVIzY2lmvXruUcWaEoRLi6umZ04rQEJSD5JLxmON9EfcPle5epUtqM80wYcMRIx4aV+XXHWcY8WhdXJ4eCN1RRYDg5OVmll69CUdhRVVj5JNxX6+WZZTWWPpji8LBa3EpIYcm+C+bjKRQKRRFDCUg+8fX0pYFXg6xnKhTaYIota3vR0LsMM7acUXXjCoWiwLhxN4mRP+3mUnyi1fNWAmIFwn3D2X9tP5fuXno4UC+BCCEYHubL8St32XLyRsEbqVAoShzX7iQx4IftbDxxjbM3EqyevxIQKxBeU6vGWn3WzNAmBgfQB3R7IsiHCu7OzFBNehUKhY25euc+A37YzvmbicwY2pyWtctbfR9KQKxA9TLV8S/vb74ay2RCKVcnBwa3rMn6o1c5fe1uAVupUChKCldu36f/tO1cjEtk5rDmtK5TwSb7UQJiJcJ9wzl4/SCxd2IfDBCGByaUGtSiJs4OBmZtjSlYAxUKRYngUnwi/adt50r8fWYPD7VJySMdJSBWonNNbeKdh6qxMk1pW9HDhYhgHxbujtXmTFcoFAorcSEukX5Tt3PtThI/PduC5r7m5yuyFkpArEQ1j2o0rtD44Wosg8ND84EMC/MlMSWN+bvPFaCFCoWiOBN7K4H+07Zx614yPz8bStOa5Wy+TyUgViTcN5zoG9Gcu20iDJlKIACNfDxpWduL2VvPkpqmprtVKBT54/zNBPpN3U58Qgq/jGhBkxq2Fw9QAmJVzFZjCQdAQqa+H8PDanEhLpHV0VcK0EKFQlHcOHvjHv2mbuNuUipznmtZoKN+KwGxIt7u3gRVDHqwGkvopzhTKeSxhpWp4eXG9M2qSa9CocgbZ67fo9/U7SSmpDHnuRYEVPUs0P0rAbEy4b7hHL15lJj4GG2DQT/FmfwgDgbB0Na+7Dl7i6jzcQVrpEKhKPKcunaXflO3kZxmZM5zLWnkU7DiAUpArE6nmp0A/imFZFECAejbrBruLo5qrhCFQpErTl69Q/9p2zFKydznWtLQu4xd7FACYmWqlK5CSKUQVp1NFxB95F0zAuLh6sRTzaqz/MAlLseruUIUCkXOHL+iiQfAvJEtqV/Fw262KAGxAZ19O3Pi1glOx502KYGkmY07tLUvaVLy8/aYgjNQoVAUSY5cuk3/adsxCMG8kS2pW8l+4gFKQGxCp5qdEAitGsuQdQkEoEZ5Nzo1rMycHedITDYvMgqFQnH4YjwDf9iOs4OB+aNaUaeiu71NUgJiCyq5VaJp5aaagAjzTnRThrfR5wqJUnOFKBSKhzl0IZ5BP+6glJMD80e1pFaF0vY2CVACYjPCfcM5FX+KE8l6C6ts5gBpUcsLf+8yzNis5gpRKBQPsivmJgOmbae0syPzRraiZvnCIR6gBMRmdKzZEYMwsOrOSW1DFj4QQJsrpE0tTly9y+aT1wvIQoVCUdjZdOIaT0/fQUUPFxY+34oa5d3sbdIDKAGxERVKVaB55easun0CCVn6QNJ5IsibCu4uzFAdCxUKBbDq8GWenbWbWhXcmT+qFT5lS9nbpIdQAmJDOvt2Jib5FsednbL1gQC4ODrwdMua/H3sGqfUXCEKRYlmyb4LvPjrXvx9yjDvuZZU9HCxt0lmUQJiQzrW7IgBwarSbjmWQAAGtayhzRWyJcb2xikUikLJrzvO8vKCKEJ9vfhlRAs83ZzsbVKWKAGxIV6uXoS612RVaTekMTXH+BXcXegR7MOiPWquEIWiJDJt4yne/P0QHepXYuaw5ri7ONrbpGxRAmJjupYP5pyTE/vPb7Yo/rCwWiSmpDFvl5orRKEoKUgp+XL1MT5ccZTHA735fnBTXJ0c7G1WjigBsTHhzUZT2iiZd2iGRfH9fcrQqnZ5Zm+NUXOFKBQlACkl7/15hEnrT/JUs2pM6t8EZ8ei8WouGlYWYUq7VyHCzZfVKde4cf24RWmGt6nFxfj7rDqs5gpRKIozaUbJG4sPMmPLGYaF+fJx70AcDMLeZlmMEpACoH/oK6QIweKt71sU/9EGlahZ3o0ZapRehaLYkpJmZPy8fczbdZ6xj9bl7e7+GIqQeIASkAKhdq1HaYErC67vJTUl51F31VwhCkXx5n5KGs//vIc/D1xiQtcGvNq5PkIULfEAJSAFxoC6T3LZQbBh1/8sit+3WXU81FwhCkWx415SKsNn7WLd0au81zOA59vVsbdJecZuAiKE6CuEOCyEMAohmmUTr4sQ4pgQ4qQQYoLJ9seEEHuFEFFCiM1CiLoFY3neaBf6ElXSJHNPLLIovruLI0811+YKuRSfaGPrFApFQRCfkMLg6TvYceYmXz4VxNMta9rbpHxhzxLIIaA3sDGrCEIIB+BboCvgDwwQQvjrwVOAQVLKYGAO8JZtzc0fjk6u9K3QhB3c5/SZ9RalGdraF4Bv1p+0oWUKhaIguH43iQE/bOfQhXi+HRhC75Bq9jYp39hNQKSUR6SUx3KIFgqclFKellImA/OAHulZAOnzOHoCF21jqfV4svV/cZKS+bu+tCh+dS83Bresydyd5zh+5Y6NrVMoFLbi/M0E+n6/jdPX7/LjkOZ0Cahib5OsQmH3gVQFzpusx+rbAEYAK4QQscDTwMfmMhBCjBRC7BZC7L527ZpNjc2J8hX86OxUkWX3Yki4a1kT3XGP1aO0iyMfrjhiY+sUCoUtiL54m95TtnLzXjK/PNuCdn4V7W2S1bCpgAgh1gohDpn59cg5dY68DHSTUlYDZgJmP+ullNOklM2klM0qVrT/hesf9Bx3DYI/t3xgUXyv0s6MfbQukceusemEfQVQoVDkjm2nbtBv6jYcDYKFz7eima+XvU2yKjYVECllRyllgJnfUguzuABUN1mvBlwQQlQEgqSUO/Tt84HWVjTdZgT596eh0YG5FyKRRst6mg9p7Ut1r1J8sPwIaUY14ZRCURRYcfASQ2bspIqnK7+90Bq/yvadv9wWFPYqrF1APSFELSGEM9AfWAbcAjyFEH56vE5AkajjEQYD/at35KSDZPeBWRalcXF04PUuDTh6+Q6L9pzPOYFCobArP22LYfScvTSu5snC5wvnXB7WwJ7NeHvp/otWwHIhxCp9u48QYgWAlDIVGAOsQhOIBVLKw/r254DfhBD70Xwgr9njOPJC19b/oYxRMu/QTIvTPN7Ym5AaZfl89XHuJeU8sq9CoSh4pJR8vuoYby89zGMNKvPriBaUdXO2t1k2w56tsH6XUlaTUrpIKStLKcP17RellN1M4q2QUvpJKetIKT/IlL6xlDJIStleSnnaHseRF0q5edHLvS7rU29x9cohi9IIIXjzcX+u3Uli6sYic6gKRYkhNc3IhN8O8s3fJ+nfvDrfDw4pEiPq5ofCXoVVbOnX8jXSgEVbLXOmAzStWY7HA72ZtvEUl+NzHhJFoVAUDInJaTz/y17m79bGtfqod2McHYr/69WiIxRCLBZCPC6EKP5npICoXj2MMOHOwlsHSUm6Z3G6CV0aYDTC56tz6kKjUCgKgriEZAZP38G6o1d4r0ejIjuuVV6wVBC+AwYCJ4QQHwsh6tvQphLDgAb9uO4gWLfjc4vTVPdyY1iYL7/tjeXwxXgbWqdQKHLiYlwifb/fxsFYrXf506187W1SgWKRgEgp10opBwEhQAywVgixVQgxTAhReCfsLeSENR1NtTSYe3pZrtK92KEuZUs58cHyI0ipmvUqFPbg+JU7PDllK5fj7zN7eCjdGnvb26QCx+IqKSFEeWAoWg/wfcD/0ARljU0sKwE4ODrTr1IL9opkjp9caXE6z1JOvNTRj62nbrD+6FUbWqhQKMyxO+YmfaZsJdUomT+qFa3qlLe3SXbBUh/I78AmwA14QkoZIaWcL6UcC7jb0sDiTq82b+FilMzbbdkw7+kMbFGD2hVL88GKI6SoqW8VigJjTfQVBv24g/LuLix+oTX+PmVyTlRMsbQEMklK6S+l/EhKeck0QEqZ5VDsipzxLOtLV5cq/JkYy+14yzsJOjkYeKNrQ05fu8fcnedsaKFCoUhn3s5zjPp5Nw2qeLDo+VZU93Kzt0l2xVIBKSeE6J3p95gQopJNrSsh9A95kUSDYFkumvQCdGxYiZa1vfh67Qlu30+xkXUKhcJolHy88igTFh+kbb2KzHmuJeXdXextlt2xVECeBX4EBum/H4DXgS1CiKdtZFuJoVGD3gQaHZl/aQvGNMt7mQsheOtxf24lJPPt32rOEIXCFiQmpzF6zl6+33CKgS1q8OOQZpR2cbS3WYUCSwXECWgopXxSSvkk2uROEmiBJiSKfNLf93FiHGD7vmm5ShdQ1ZNeTaoyc3MM528m2Mg6haJkcvX2ffpP28Zfhy/z1uMN+aBnAE4loIOgpVh6JqpJKU0nsLgKVJdS3gRU3YkVCG/9Ol5GybzoX3Od9rXw+hgM8Okq1blQobAWRy7dpue3Wzh+5S7Tnm7GiLa1S0wHQUuxVEAihRB/CiGGCCGGAEv1baWBONuZV3JwdvGgd5kGbDDGc/Hi7lyl9fYsxci2tflj/0X2nbtlIwsVipLD30ev0mfKVtKkZOHzrejkX9neJhVKLBWQ0WiTNgXrv5+A0VLKe1LKDrYyrqTxVKs3AFiwzezkitkyql0dKnq48L7qXKhQ5IvZW2N4dvYufCuUZunoNgRU9bS3SYWWHAVECOEArJdS/ialfFn/LZLqLWV1vH2a0s7gyeLbR0m6n7thSkq7OPJqJz/2nL3FykOXbWShQlF8SU0zMnHZYd5ZdphHG1RmwahWVPF0tbdZhZocBURKmQYYhRBKhguAAY2e5pZBsHrbp7lO27dZdRpU8eDjlUdJSk2zgXUKRfHkblIqz/20m1lbYxjRphZTn26qWlpZgKVVWHeBg0KI6UKISek/WxpWUmnZZCS+aYJ5MStyndbBIPhPt4acu5nAz9vO2sA6haL4cSEukT5TtrLxxHU+6BXAW939cTAoZ7klWCogi4H/AhuBPSY/hZURBgP9vcM4YEjl8JHfcp3+Eb+KtPOryKR1J7h1L9kGFioUxYf95+Po+e0WLtxKZNaw5gxqUdPeJhUpLB2NdzawANgupZyd/rOtaSWXiLC3KGWUzN03JU/p33y8IXeTUpm0/oSVLVMoig9/HbpEv2nbcHE0sPjF1rStV9HeJhU5LB1M8QkgCvhLXw8WQuRuDHKFxXiUqUr3UtX4K+kycbfO5Dq9X2UP+ofW4OdtZzl97a4NLFQoii5SSr7fcIrnf9lLQ+8yLBkdRr3KHvY2q0hiaRXWRCAUvc+HlDIKqG0jmxRA/2bjSTIIft/yfp7Sv9zRD1cnB/7z+0HSjKrBnEIBkJyqzVv+8cqjdA/0Zu5zLamgxrTKM5YKSIqUMnO7UjWGuA3xq9uVptKF+Vd3kpaae19GRQ8XJkY0Yvvpm3ynxslSKLgcf59+07ZlzFs+qX8TXJ0c7G1WkcZSATkshBgIOAgh6gkhJgNbbWiXAuhfO4ILDrBh59d5Sv9kSFV6Bvvw1drj7Iq5aWXrFIqiw84zN+k+eTPHLt9hyqAQXu1cH4NqaZVvLBWQsUAjIAmYC9wGXrKVUQqNx1r9ixpp8O2xX3M1Sm86Qgje79WYGl5ujJ+7j7gE1SpLUbKQUjJryxkG/rAdD1dHlo4Oo2sJnHrWVljaCitBSvmmlLK5lLKZvnzf1saVdJyc3BhdpzfHDUZWbvq/POXh7uLI5AEhXLubxL8XHVDDnChKDInJaby6YD8T/4imff1KLB2jnOXWxtJWWH5CiGlCiNVCiPXpP1sbp4Aubf6Ln9HAt6d/JyUlb8O1N67myetdGrA6+gq/bFcdDBXFn/M3E3hyylZ+j7rAK538mPZ0U8q4OtnbrGKHpVVYC4F9wFvAayY/hY0xODgyruEQzjvA73//J8/5PNumFh3qV+S95UeIvnjbihYqFIWLTSeu8cQ3mzl/K4EZQ5oz7rF6yt9hIywVkFQp5RQp5U4p5Z70n00tU2TwSOhLBEsnpsau5X5i3oZrF0Lwed8gypZyYuzcvSQk596nolAUZqSUfBd5kiEzdlLZw5U/xrShQwM167YtsVRA/hBCvCiE8BZCeKX/bGqZIgNhMDA+eBxXHQRz1/0rz/mUd3fh6/7BnL5+j4nLDlvRQoXCvtxNSuXFX/fy6V/H6NbYm99Ht8a3Qml7m1XssVRAhqBVWW3ln3GwcjfrkSJfNAseShhuTL+2gzu3L+Q5n9Z1KjCmQ10W7I5laVTe81EoCgunrt2l57dbWB19hbceb8jkAU1wc1Yj6RYElrbCqmXmp3qiFzDjWrxBvEEwa90r+cpn/GP1aFazHG/+foizN+5ZyTqFouBZE32Fnt9s4ea9ZH5+NlRNO1vAZCsgQoh/myz3zRT2oa2MUpjHv0FPOjuU5ee4w1y/nvf5zx0dDHzdPxiDgHFz95GcqgYVUBQt0oySL1cf47mfdlOrYmn+GNuG1nUq2NusEkdOJZD+JstvZArrYmVbFBYwps17JAuYvj7vvhCAauXc+LRPIPtj4/l8dd7FSKEoaOJu32Had58wef1x+jatxoJRrahatpS9zSqR5CQgIotlc+uKAqCWb3t6uHgzP+EMFy/mzw3VJcCbwS1rMG3jaSKPXbWShQqF7dh26gaT//cxL1z/iOlh8XzaJ1CNZ2VHchIQmcWyuXVFAfFC+08RwJTICfnO663H/WlQxYNXF+zn6m01uICicJKSZuTzVccY+ON2mojjADzKbuXvsDM5CUiQEOK2EOIOEKgvp683LgD7FGao4t2EfqXrsCz5MqfPrMtXXq5ODnwzsAn3klN5eUEURjX0u6KQcf5mAk9N3cY3f5+kT0g1upU9pwUc/wvU0Dx2JVsBkVI6SCnLSCk9pJSO+nL6ep7HBRBC9BVCHBZCGIUQzbKJN0MIcVUIcSjTdi8hxBohxAn9v1xebSmqjHjsC1wlfLN5Yr7zqlvJg3cjGrHl5A2mbDiV7/wUCmuxNOoC3f63iZNX7zJ5QBM+614Tw/WjUMEP7lyCS1H2NrFEY2k/EGtzCOiNNsd6dszCvLN+ArBOSlkPWKevlyi8vOryTNnGrDHG5Wnu9Mw81aw63QO9+XLNcfaczVtvd4XCWtxNSuXVBfsZPy8KvyoerBjXlieCfCBW9/u1fwMQcOwvu9pZ0rGLgEgpj0gpc2z6I6XcCJibyKIHkD4n+2ygpxXNKzIM6fglZY2SSTs/yXdeQgg+7N0Yn7KujJu7j/jEFCtYqFDkngOxcXSftInf98Uy7rF6zB/Zkupeblrg+R0gHKBeZ6jeAo6tsK+xJRx7lUDyS2Up5SV9+TJQOauIQoiRQojdQojd165dKxjrCgh3D29GVGrFVhLZtW96vvMr4+rE5AEhXLl9nwm/qaHfFQWL0SiZuuEUvb/bSnKqkXkjW/FKJz8cHUxeU+d3QJUAcHGH+l3g8gGIVyMq2AubCYgQYq0Q4pCZXw9r7kdqb7ks33RSymn6HCbNKlasaM1dFwr6PfopldIkX0d9izTmv0NgcPWyvBZenyuHN7Jy1XIrWKhQ5MzV2/d5ZsZOPlp5lE7+lVk5/hFCa2Uabi8tFS7sgWqh2nr9btr/8ZUFa2wRI+l+PFOXPp3ngVizw2YCIqXsKKUMMPNbaoXsrwghvAH0/xLbicG1VDleqN6ZA4YUInd8mf8Mk+8x8s53LHaZSJNtY/lzv/q6U9iWdUeu0OV/m9h99iYf9W7Md4NC8HQz00bnajQk39WqrkBzpJerpfwg2XAmJpKBcx/hm7goNu/53ur5F9UqrGVoAzyi/1tDlIosPdq/T400mHT0Z9JS8+G7OLcDvm+D2D2dtGot8RY3mbZgCX8euGg9YxUKnfspaUxcdphnZ++mchlX/hzbhgGhNbLu23F+h/ZfXS+BCKGVQs5sgKS7BWN0EeKPv9+k399juEYa3zV8jo5tMg8mkn/sIiBCiF5CiFigFbBcCLFK3+4jhFhhEm8usA2oL4SIFUI8qwd9DHQSQpwAOurrJRYnJzfG1HmSkwYjKza/m/sMUpNg7USY2QWMqTD0TxwG/IpEMLjsYcbPi2L5gUs5ZqNQWMqxy3fo+e0WZm2NYXhYLX5/sTV1K+Uw3ez5neBeBcrW+Gdb/a6Qlgyn/7atwUWIhITrvDWnI/85twx/4crCbnNoGzrOJvsSJclR2qxZM7l7d/Echd6Ylkq/n5pyVxpZNmg7Ti4WzoVw+SD8/jxcOQQhz0D4h+CiP8jTw0lLSaSf/Jh95+OY1L8Jjwd62+4gFMWepNQ0vv37FFMiT1LG1YnP+wZZPunT14HgHQT9fv5nW1oKfFYHGnSHnt/ZxugixPGTK3lt4+ucMRgZ5dmYUd1n4ujkmu98hRB7pJQP9dkrqlVYikwYHBwZ6z+cWAdYHGlBUTUtFTZ9AdM6wL1rMHABREz+RzwA6nfF4fJ+ZvepSpPqZRk3bx8rDqqSiCJv7Dl7k8cnbWbSuhN0D/RhzSvtLBePO5ch7uw//o90HJy0Jr3HV4ExzfpGFxGk0ciiNa8wcNNr3MbItMZjGd1rrlXEIzuUgBQj2jYfS4h0ZuqF9SQmmOs+o3PjlFZdte7/oGF3eHE7+IU/HE9v5VI6Zg2zhocSXL0sY+fuY6USEUUuuJuUyttLD9Hn+20kJqcxa1hzvuoXjFdpZ8szOb9T+88sIAB+XSDh+j+dDEsYd+9c4vU5HXj34hpCDG4sjFhEy6ajCmTfSkCKEcJgYFyTcVxzEMxZ9+rDEYxG2DENpoTB9RPw5HToOwvcspiduEI98KoDx1bi7uLIrGHNM0Tkr0NKRBQ5s/7oFTp9uYGft59laGtfVr/8CO3r52Ge8vM7wMEFvAMfDqvbEQyOJbI57+Gji3lqYWdWp95gvFdTvh+8lQoVGhTY/pWAFDOaBg2hDaWZcX0Xt+PP/xMQHws/94SVr4FvmFbqaNwn+8yE0JyUZzZC0h08XJ2YNaw5gdU8GTNnH38dumzbg1EUWa7fTWLs3H0Mn7WbMq5OLH6hNe880YjSLnmcavb8TvBpAo4uD4eVKgs1W8OxkiMg0mjk15UvMHj72yQjmRkygRFPzMLgULBT+SoBKYaMa/kGtw2CWete1UYrjZoD37XSivjdv4ZBi6CMhc7w9FYup7RWLh6uTsweHqqLyF4lIooHkFLy255YOn65gVWHLvNKJz/+GNuGJjXyMd5pyn1t0MT05rvmqN8Nrh2Fm6fzvp8iQnxcDC/92paPr26mjaEMi3r9QZPAwXaxRQlIMaRh/R50cSjHL/HRXJ/TF5a8AJUD4IUt0GyYVrKwlOotwbXsA1936SLSWImIwoTzNxN4ZsZOXl24nzoV3Vk+rg3jHquHs2M+XzOX9msfMeb8H+n46WOuFvNOhVGH5tB3cXc2psXz74qtmTR4M2XL1bKbPUpAiilj2n5AsoDJcfug03sw9E/wysON5uCoOdiP//VAK5d0EQmoqonIqsNKREoqaUbJ9M1n6PzVRvaevcX/9WjEwlGtqFc5h34dlpK5A6E5vGpBxYbFdnBFY1oq0/8YxtDdH+KA4JcW7/J0t6kIg31f4UpAiik1a7bl6eodWezuxhbfpmDIx7Sf9btC4s1/WsLolHF14qdnNREZ/eteVisRKXEcvXyb3lO28t6f0bSqU541r7TjmVa+GAxWnCnw/A5tyBL3HJzv9bvA2a1ggzGf7Mm1q4d54ZfWfH1zN485lmNBn79o1PBJe5sFKAEp1oxp/wm1PWvz9ta3uZ18O+8Z1XkMDE5mv+4eEJE5e1kTfSUfFiuKCrfvp/DJX0fpPmkzsTcTmDSgCdOHNMOnbCnr7khK7cMlu+qrdOp3A5kGJ/M3S2dh4u9tn9N7eT/2GhN427sjnw/cgEeZqvY2KwMlIMUYFwcXPmjzATcSb/BJfuYMcS0Dvm20aiwzpIuIv48nL/66h7VKRIotyalGZm05Q/vPIpkSeYoewVVZ+0o7IoJ8bDM/+a0YuHc1++qrdKo2hdIVi0VrrMSEm7w3rwvjjs/GG0fmt59E385f2b3KKjOFyxqF1QmoEMDwgOEsO7WMv8/lY7yg+t3g+nG4ftJscBlXJ34aHoq/dxleUCJS7JBSsuLgJTp/tYGJf0TToIoHf45twxdPBVEuNx0Cc0t2HQgzY3CAeuFwYo02xEkR5eixZfSf154FSRcYWrouvwzcRO1aj9rbLLMoASkBPB/0PPXK1eP/tv8fcffj8pZJfb2VSzadtTxLOfHTsy3w9y7DqF/28OXqY6Sk5X+OEoV92R1zkyenbOXFX/fi4ujAzGHN+XVECwKqetp+5+d3gLMHVGpoWfz6XSEpHs5ts61dNsCYlsrs5c8xYNt/uIuRaQGjebXP7zi7WKkxgg1QAlICcHZw5sM2HxJ3P44Pd36Yt0zK1oDKjXOsHvAs5cQvI1rQq0lVJq0/Se/vtnLy6p287VNhV05du8uon3fT5/ttxN5K5JMnG7NifFs61K9km+oqc5zfCdWaWd4IpE4Hrcd6EavGunrlEM//0prPr2/nEQdPfuv1B62aPm9vs3JECUgJoYFXA0YGjWTlmZWsObsmb5nU76J92WU3zhZaE9/P+wbx/eCmXIhL5PFJm5m55QxGY8kZ+bkoc/1uEv9dcojOX21k84nrvNrJj8jX2tOveQ0crNm6Kifu34arhy2rvkrHuTTUbqcJSBEZafzvbZ/z5Ir+7NMd5V8P2mTXvh25QQlICWJE4xH4l/fniC8tdwAAIABJREFUvW3vcSPxRu4zqN8VpFGrY7aALgFV+OultrSpW4F3/4jm6Rk7uBiXmPv9KgqExOQ0Jq87QbtP/2bOznMMDK1B5GsdGPtYPdycC3aIDECbvlYaLXOgm+LXBW6dgWvHbGOXlSgqjvLsKDqWKvKNk8GJ98Pe527KXd7f/j65ngvGu4k2oU8uOmtV8nDlxyHN+Kh3Y/adiyP8640s2Xch9/tW2Iw0o2T+rnO0//xvvlhznLC6FVj98iO81zOAih5mxp4qKM7vBIRWhZUb/HL219mbI8eW0q+IOMqzQwlICaNeuXq8GPwia8+tZeWZXD5gBoNWjXVynTaLoYUIIRgQWoOV49viV9mDl+ZHMWbOPm7dS86l9QprIqVk3ZErdPvfJl7/7SA+ZUux8PlWTHumGXUqutvbPM2BXskfXHPprPesqk08VQj9IOmO8oHb3uReEXGUZ4cSkBLI0EZDCawQyAc7PuBawrXcJa7fDZLvQMzmXO+3ZvnSLBjVin93qc/q6MuEf72RyGNXc52PIn/cT0ljzo5zdPpqI8/O3s391DS+GxTC4hda09w3i6H9CxqjEWJ35b76Kp363bQSzL3r1rUrHxRVR3l2KAEpgTgaHHm/zfskpSXx7rZ3c1edVOsRcHLL89edg0HwYvu6LBkdRlk3J4bO3MVbSw6SkJyap/wUlnP19n0+X3WMVh+t4z+/H8TF0cCXTwWx5uV2dGvsXXAtqyzh2lFIup07B7opfl0Aqc1UaGek0ciKDe/Qq4g6yrPDDp4xRWGglmctxjUZx2e7P2PpqaX0rNvTsoROpaB2B61XerfPcjeyrwmNfDxZNqYNX6w+xo+bz7Dl5A2+fCoof8N+K8xy6EI8Mzaf4Y8DF0k1Sjo2rMyzbWrRopZX4RINUywZQDE7vIPAw0fzgzQZZD27csnNmyd5f/kw1hjjCMSJ9zt8RS3f9nazx9ooASnBDPYfzLpz6/hk5ye09G5JldJVLEtYvyscWw5XDkGVxnnev6uTA28+7s+jDSrzr4X76fP9Nka3r8PYx+rh5KAKx/khzaj5N6ZvPsOOMzdxc3ZgUIuaDG3ti2+F0vY2L2fO7wS3CuBVO2/phdD8dfvna/OJ2HhucHOs3/op7x77idsCxpdvxtAu39t8jvKCRj2lJRiDMPB+2PukyTTe2fqO5VVZfuGAsJqTslWd8qx8qS09g7XOh72+28La6CukqX4jueZeUiqztpzh0S8iGfnzHmJvJfKfbg3Y9sZjTIxoVDTEA7QSSPUWeS7hApofJOUexGyynl0WcDv+PG/OeZTxJ36mEg7MC/uEEU/MKnbiAUpASjzVy1Tn5aYvs/XiVhadWGRZIvdKUK25VedeKOPqxBdPBfH94BCu30lmxE+76fB5JD9sPE18QtEd16iguBiXyEcrjtDyo3VM/CMar9LOfDOwCRtea8/IR+rgWcrJ3iZazr0bcPPU/7d353FV1ekDxz/PBRQQxQUEAQVXcjczU8y0LFwqTbM90/bFtumnNZPj5NQ01VROOW3jZFlW2mSblYlLlmPilguCC7mgIIq4hCAqy/3+/jhHQwVFuJfLhef9et2Xh3MO5zxfuNzH7/me83wrfvnqhJi+4FevSu/GWrbqTYZ/PpjvCvZxf4OOfHLrMmLbXl1l569qeglLcVPsTSzauYhXVr1CXEQckUHlKBcdOxgW/RUO7yn/9LjlMKhTMwa0DyMhZS8fLEvj+bmbmLwglesujGRMXAyx4d55u6M7HC0o5qfUbL5Jyjw5K+SgTuHcfWlLunvzWFLGeRRQPBs/f6u0Seo8MK9WrjdzDvl5+3j12zv47/HdtMTB6z0n0qnDDW47X3WhCUThEAfP9nmWEXNGMPHnibwb/y4OOUfn9EQCSZ1nTZPrQn4+Dq7pEsE1XSJIyczhw2U7+WJNBjNX7qJXq8aMiYvhyvZh+NbCcZLf8gtYtGkfCSl7WfJrNscKnTQM9OPuS1syOi6GSFfPx+EJ6Sus+WciulX+WLFDYPO3sDfJGlh3g9XrpjNxzavsdhhG12vDw9e8j3+AFyfw86AJRAEQERTB+B7jmZQ4iVmbZ3Fr+1vP/g2hF0CjGOvygIsTSEkdI4J5aWQX/jj4Aj5dnc6MxJ088NEaIoL9ub13NDdf3ILG7iwnXg3syTnK/JQsElL2smLHQYqdhmbB/tzUozkDO4XTM6ZxzUqm6SutD3s/FyTDtvGcHK9zcQI5dvQQ//p2DDOObCMS4f0Lx3NR19EuPUd1J7WppESPHj3M6tWrPR1GtWWM4cFFD7Imaw2zr51NiwYtzv4N8/4Eq6bBUzusInZVoNhpWLgpiw+WpbFs2wHq+DoY1jWC0XExVVNevIps3ZdHQspe5qfsZX1GDgBtmgYxsGMYAzuG0zkyuPreglsZxYXwQhT0uBsGVbBy9OmmxVuVE+7/yTXHA5I3fsbTy59jh4/hprpRPHHNBwSea8pdLyYivxhjzqgpoz0QdZKIMKn3JEZ8PYI///xn3h/4Pj5nK6MdOxiWvwXbFkP7a6okRh+HMLBjOAM7hpOalcsHy9L4Ys1uPvslgx7RjRgdF0P/2FDq+3vRoDFW8k7KyCEhZS8JKXvZln0EgK7NG/LkoFgGdgyvHuVF3G1vEhQdq/wAekntBtnjdZnQIKJShyo8foR35t7FtJwUQoB/d3iQuIvHuiZOL6QJRJ0ivF44f7zkj0xYOoEZG2cwptOYsndu0duqU7Tl+ypLICW1C6vP88M78+SgC/hsdTozlu/kkZlrAWgZUo+OEQ3oFBlM58hgOkY0oGFg9bjUVVjsJG3/EVKz8tiSlcuvWbms3fUbew8fw8ch9GrVmNFxMVzVIYxmwTVgTON8nM8MhOUVO6TEeN1dFT5M8sbPeGbF30h1OBlaJ4ynrp5Og+DmrovTC2kCUWe4ttW1/LDrB15b8xotg1vSr3m/0nf08YM2V1l/mM7i8k/642LBAX7c07cVd/VpSeL2A6zddYgNu3NYu+s3vk3ac3K/qEYBdIoIpnNU8MnkEhLkvmqzxU5D+sF8tmTlkro3l9R9eaTuzWX7/jwKi61Lxw6BmCb1uCi6EVdc0JQB7ZtWm0TnEekrILiFS+/sIzS2xHjd+SeQ/Lx9vPH9vXx8ZBtNDExpN4bLe49zXXxeTBOIOoOI8PdL/86dCXcyfsl4psVPo3NoGU+cxw6G5NnW3A2uvOxQAQ6H0KdNCH3ahJxcd+hIAcmZOSTvPkxyZg4pu3OYl7L35PbwBv50igymU2QDOkUEl1q+vLRRwtLGDg/lF5CalWcni1x+zcrjeNHvU/pGNQogNqw+V7RvSruwINqF1ad1aBD+fp5JvNVS+kqrZ+tKIlYvZNU0KDhyXuN1S1f+i+eSp5LpAzf6R/H4kGnUb1CO29xrCU0gqlSBfoG8OeBNbp97O2MXjeWjIR+VPqje5kpw+FoPFXo4gZSmUb069G0bSt+2oSfX5RwtZGPmYVIyc0jencOG3Tks2pzlsgnswhv40y68PqN6NaFdeH3ahdWnbdMg6tXVP7ezysmAw7tde/nqhHaDzmu87uDBrfzj+3v5rmg/LRE+6DaO7l3vcH1cXk7f0apMIQEhvHPlO4z6fhQPLHyAGYNn0CSgyak7BTSE6D7W5YErJ3kizPMWHOBH79ZN6N3697YcOV7Epj2HOXzszKfehTLudjptdf26vrQNq+9dT31XJ5UtoHg20XFQN9gqrniWBGKcTr756c+8nDaHPIEHgjtz75CpXjtfh7tpAlFnFRMcwxsD3uCehHsYu2gs7w18j0C/wFN3ih0C856CA9ugSWvPBFpJ9er60qO6zIVRW6WvtKYKCOvk+mP7+EHbK63y7k6nNTna6afPWM5zix4lkaN0pQ6T+r5Im9bxro+lBvHI00cicoOIpIiIU0TKnK9SRN4TkX0iknza+pdFZLOIJInIlyLS0P1R115dQ7vycr+X2XRwE+N+GkeR87S5O2JPTCE6r+qDUzVH+gqIvAh83PT/2tghcCTbGq8roajwGNO/vYcRC+4hyZnP02H9+PCOlZo8ysFTj68mAyOAJefYbzowqJT1C4BOxpguQCrwJ5dGp87Qv3l/Jlwygf/t/h/PLX/u1EHkRjHW1KPVcApR5SUKjsCeJPeMf5zQZsDv43W2jVu+4taPevHqgRX08mnAV4M/4pZBb+BwVxKrYTzyUzLGbALO+SStMWaJiMSUsn5+iS+XAyNdGJ4qw42xN5KVn8XUpKmEBYbxULeHft8YOxiWvgZHD0EtqQOkXChzLZhi9yaQgEbWHV5bvudo3CO8PfcePsxLpaGBV1rdRHyfCUgpl7ZU2WrCT+suoMz/+orIfSKyWkRWZ2ef5/zf6gwPd3uYYa2H8fb6t/k89fPfN8QOsT4Afl3oueCU9zoxgB5V5hVt14gdQmLudkbM6sf7R35lWN1mfH39XAb2najJowLc1gMRkYVAaVPcTTDGfO2ic0wAioCPy9rHGDMVmApWLSxXnLc2ExGeiXuG/cf289zy5wgNDOWyqMsgojvUa2pdHuhS88tYKxdLXwkhsRDovhsZ9uTt4ZXcJOY3CyO6GN7r8jgXX3i3285XG7gtgRhjrnTXsQFEZAxwDTDA1KaKkNWAn8OPyf0mc2fCnYz7adzvDxrGDoKUr6CoAHxr8dPU6vwYY/VALnBPOZxjRceYnjKdaRumYTA81O5m7uw2Fv8AvfemsryyzyYig4AngaHGmHxPx1MbnXjQsLF/Y8YuGsuuw7ug3WA4fhh2LfN0eMqbHNhqjZ25ePzDGMOiXYu47uvreHPdm/SN6suc6+bwYO8JmjxcxFO38Q4XkQygN/CdiCTY6yNEZG6J/WYCiUCsiGSIyIn+5htAfWCBiKwTkXequAmK3x80NBgeWPgAByK6gK+/3o2lzs/JBwhdl0C2/7adBxY+wOOLHyfAN4B3499lcv/JRARVrhqvOpXOB6IqbX32eu5JuIfWDVvzXk4xgdmb4bEkt04hqmqQOY/Axjnw5I5SH/A7H7kFubyz/h0+2fQJAb4BjL1wLDfG3oifQ6sDVEZZ84F45SUsVb10De3KPy77h/Wgof9xin7bBfs2ejos5S3SV1rlSyqRPJzGyVdbv+LaL69lxsYZDGszjG9HfMtt7W/T5OFGmkCUS1ze4nLrQcO8HTwX0hiz+TtPh6S8wdFDkL25UvWvkvcnM2ruKCb+PJHI+pHMvHomk+Im0dhfS9O4mz5uqVym5IOGoVtnM7bvOL23Xp1dhn1JuQLjH/uP7mfKmil8ufVLQgJCeP7S57mm1TU4RN9zVUUTiHKph7s9zL60n/j34S0c/HQwfxrxBX51q2a+dOWF0leA+FjPEZVTYXEhs7bM4q11b3Gs+Bh3dryT+7rcR1CdWjDlbzWjCUS5lIgw6dqZhMy5lXdzN7N95mVMvnYWjZu09XRoqjpKXwHhnaDuuT/8i53FzN0xl7fWvUVGXgZ9IvrwVM+naBncsgoCVaXRvp5yOR9fPx4b8RkvxYwg2Rznlq+Hs+VXHRNRpykugoxfznn5yhjD4l2LGfnNSJ5e+jRBdYJ4a8BbvH3l25o8PEx7IMpthvT7Ky1CO/PY8kmMWvoUL+xLYkAfLZysbPtSoPDIWRPIqr2reH3N66zPXk90g2hevuxl4mPidZyjmtAEotyqU4eRzAppz+Pf3c7jWz9hbHYy91/7IeKj84DXeukrrX9LuQMr5UAKU9ZMYVnmMpoGNuWZ3s8wrM0wvSW3mtE0rtwutGlH3rvlR671C+XNnCTGfdKf/Pz9ng5LeVr6CqjfDIKbn1y1PWc7T/z4BDd/ezMbD2xkXI9xfDf8O0a2G6nJoxrSHoiqEnX9g3n+5oXEfn8/k7MT2fXpAKYMnEazCDeX71bVV/oKq/chwp68Pby9/m2+3vY1/j7+PND1AUZ3GK13VlVzWspEVbn/rZzCkylTqQP8s/uTdO96h6dDUlXt8B6YfAEHB0zkP3WL+XTLpwDcFHsT93a5Vx8CrGbKKmWiPRBV5fr2fJSPQzvx6OLHuHvtP5i4L4kRV73i6bBUFcpNW8KHDYP5cOenHHMWMKz1MB7s+iDNgpp5OjR1HrQHojwmJ2cX478aSSJHuS0gmnHDZ+Pr5+/psJQb7d2zlhlLJ/F53jaOOISrWgzg4e6P0iq4ladDU2ehPRBV7QQHt+CtW5cw+aubmJG/nW2fXMYrw/5LcMMYT4emXGxL6rdMX/Uq8wqzMUB8nRDu7Dme9m2v9nRoqhK0B6KqhS8XPclz6XMJdwr/6jeZ1q2v8nRIqpKM00niL28zfeMHJHKUAKfh+qBWjOrzFyL05gmvUlYPRBOIqjbWbfiYx1e9wDGBh8LiuGXAP7WOlhcqLMxn3tK/80HaN2xxOAkpNtwW2oMbLnuW4OAWng5PVYAmEDSBeIO9e9byl/n3k8hRWhTDH9rdyoC4p7SqrxfIy93D50v+woysRLJ8hNbFwujoQVx96UTq1K3v6fBUJWgCQROItzBOJ0tXv8Grye+yzcfQ3dThyUuepmP76z0dmipFVlYSHy+dxGeHU8lzCBebuoxpfzuX9ngYh48Os9YEmkDQBOJtigqP8cXiP/Lm7oUcdAjX+Ibw2BWTCW92oadDU8CmLV/z0S9TmFuQhROI923MmIse00RfA2kCQROIt8rL3cO0+Y/wYe5mxMAdwR24O34K9YLCPR1arbM/exPfrZzMnH0rSXU4CXAahteLYVTcn4mK6uXp8JSbaAJBE4i3y8xczeuLxzG36ABNig1jo65i+OUv6LMjbnb8WA6LV77OnLS5LHPmUSxCZ6cvQ5tdyuDe43VgvBbQBIImkJpiQ8pnvLzqRdZKAW2cDsZ1upc+Fz/s6bBqFON0sn7jLOYkf8i8oxnkOoSmxYZrgy9gaPeHaNXyCk+HqKqQJhA0gdQkxulk4bIXmZw6kwwf6EMg4y59jjat4z0dmlfbk/kL36x+jW/2ryPNB/ydhgF1QhkaewOXdLsHH986ng5ReYAmEDSB1EQFx3OZufAJ/r0vkSMC1/tHMbr3BKKj+3o6NK+Rn7+fhcsnMyd9ASvNUYwIF5m6DIu6nKsueYKg+lqfqrbTBIImkJrst0M7eGfBo3yav4MiES5wOhgYciEDu91L8+Z9PB1etbN//2aWJ3/Mz7uXsqggm6MOIaoYhjbuzDUXPULz5r09HaKqRjSBoAmkNsjKSmL+L28yL2sVSY5CADo4fRgUehHxF95PZOSZs9/VBseOHmJN8ick7lzIstztpDqcADR0Gq7wb8bQDrfTvfMofWBTlUoTCJpAapvMzNXMX/MOCdm/kOwoAqCL05f4phczsPuDNfp5EmdxEalb57Is9SsSDyazxuRTIIKfMXSXAHo17kjvtkNp33aoPuynzkkTCJpAarP09ETmr5tKwv61bHIUA9DN+DEwrCfx3R+maVgnD0dYeVlZSSQmf8yyPctZUXiAgw4BoI3TQe+gGOKir6R7p1sIDAzxcKTK22gCQROIsuzc+T8S1k8l4UASqQ4nYgwXUpeB4b3oFTuCqIie1bp2k3E6OXBgCzt2J5K2bwNbf/uVFXm72OZj/S03KTb0rhtK72a96dXx1hqRHJVnaQJBE4g60/YdP5CwfhoJBzec/AB2GEOEU4j2CSQ6IJToBtHENOlAi2YX0Sy8e5Xdynr8WA47M5aRtucX0g5tIS13N2kFh0ijkFy7dwHWrbbdHYHEhXSlV7vraNd6sI5lKJfSBIImEHV227YtYOOun9j521Z2HdlDWmEOOykiv8SHtZ8xtHA6iParT3RAU6KDWxEd2pmYyEto0iSW4uICnM5CioqPU1x0nOLiAmu5uMB+FZ5cLnKe+LqQ/OOH2Jmdwo6c7ew4uo+04nwyHQYjv587rNgQ4xNAjH8oLRtEExPSkZaRvQgP66bjGMqtNIGgCUSdP+N0sn//JnZmrmJn9gZ25mxn59F97CzMZZfDSWGJD3hXCHAaovGhpV9DYupFENO4HTFhFxITFUdgUFOXnkup8tIpbZWqAHE4CG3akdCmHTn9r6e4qIC9WevYmbmKtAMbOXT0IL4OX3zEgY/DFx+HDz7ii6/DF4f4WNscfvY2X3wdfjgcPvj6+FHXrx7RzS6madPO2ptQXkPfqUpVkI9vHSIjexIZ2ZM4TwejlAfoSJtSSqkK8UgCEZEbRCRFRJwicsZ1tRL7vSci+0QkuYzt/yciRkT0xnallKpinuqBJAMjgCXn2G86MKi0DSLSHIgHdrk0MqWUUuXikQRijNlkjNlSjv2WAAfL2PxP4Emg9txGppRS1YhXDqKLyDBgtzFmvZzjNkoRuQ+4z/4yT0TOmbjKEALsr+D3eittc+2gba4dKtPm6NJWui2BiMhCoLRJqycYY76uxHEDgaexLl+dkzFmKjC1oucrcd7Vpd0HXZNpm2sHbXPt4I42uy2BGGOudNOhWwMtgRO9jyhgjYj0NMbsddM5lVJKncbrLmEZYzYAJx/JFZE0oIcxprZ1R5VSyqM8dRvvcBHJAHoD34lIgr0+QkTmlthvJpAIxIpIhojc7Yl4bZW+DOaFtM21g7a5dnB5m2tVLSyllFKuo0+iK6WUqhBNIEoppSpEE8hpRGSQiGwRka0i8sdSto8RkWwRWWe/7vFEnK50rjbb+9woIhvtEjSfVHWMrlaO3/M/S/yOU0XkN0/E6UrlaHMLEVksImtFJElEhngiTlcpR3ujRWSR3dYfRSTKE3G6UjnKP4mITLF/Jkki0r1SJzTG6Mt+AT7ANqAVUAdYD3Q4bZ8xwBuejrWK29wWWAs0sr9u6um43d3m0/Z/BHjP03FXwe95KvCgvdwBSPN03G5u72fAaHv5CmCGp+N2QbsvA7oDyWVsHwJ8DwjQC1hRmfNpD+RUPYGtxpjtxpgCYBYwzMMxuVt52nwv8KYx5hCAMWZfFcfoauf7e74FmFklkblPedpsgAb2cjCQWYXxuVp52tsB+MFeXlzKdq9jzl7+Caw2fmgsy4GGItKsoufTBHKqSCC9xNcZ9rrTXW93/2bbRR29WXna3A5oJyI/i8hyESm1wKUXKe/vGRGJxnpw9YfStnuR8rR5EnC7fYv9XKyel7cqT3vXYxV1BRgO1BeRJlUQmyeV+71fHppAzt83QIwxpguwAPjAw/FUBV+sy1j9sf43/h8RaejRiKrOzcBsY0yxpwOpArcA040xUViXOmaISE3+jBgH9BORtUA/YDdQG37PLlOT3xwVsRso2aOIstedZIw5YIw5bn/5LnBRFcXmLudsM9b/UuYYYwqNMTuAVKyE4q3K0+YTbsb7L19B+dp8N/BfAGNMIuCPVYDPG5XnbznTGDPCGHMhMMFe5/U3S5zD+bz3z0kTyKlWAW1FpKWI1MH68JhTcofTrhcOBTZVYXzucM42A19h9T6wJ+9qB2yvyiBdrDxtRkQuABphVUPwduVp8y5gAICItMdKINlVGqXrlOdvOaRED+tPwHtVHKMnzAHusO/G6gXkGGP2VPRgXlcLy52MMUUi8jCQgHUXx3vGmBQReRZYbYyZAzwqIkOBIqzBqjEeC9gFytnmBCBeRDZidfHHG2MOeC7qyilnm8H60Jll7NtXvFk52/x/WJcn/4A1oD7GW9tezvb2B14QEYM1ud1YjwXsInb5p/5AiD2W9QzgB2CMeQdrbGsIsBXIB+6s1Pm89P2hlFLKw/QSllJKqQrRBKKUUqpCNIEopZSqEE0gSimlKkQTiFJKqQrRBKK8mojklWOfx0Uk0IXnvE5EOrjweMsq8b159r8RIjL7LPs1FJGHKnoepUqjCUTVBo8D55VARMTnLJuvwyrE5xLGmDgXHCPTGDPyLLs0BDSBKJfSBKJqBBHpb8/pMFtENovIx/bTto8CEcBiEVls7xsvIokiskZEPhORIHt9moi8JCJrgBtE5F4RWSUi60XkcxEJFJE4rAoEL9tzhbQWkW52kckkEflSRBrZx/tRrHlFVovIJhG5WES+EJFfReRvJWLPK7H8lIhssM/5YintbGnHvuG0Y8ScmANCRDqKyEo7viQRaQu8CLS2170sIkFizYWxxj7WsBLH2SQi/xFr7pf5IhJgb2sjIgvt2NaISGt7/Xj755QkIn916S9WVW+erl+vL31V5gXk2f/2B3Kwavs4sMqPXGpvSwNC7OUQrKeO69lfPwX8pcR+T5Y4dpMSy38DHrGXpwMjS2xLAvrZy88Cr9nLPwIv2cuPYZVHbwbUxaov1uS0NgwGlgGB9teNS2nvHOAOe3lsie+NwZ4DAvgXcJu9XAcIKLndXu8LNCjxM9mKNUdEDFaVhW72tv8Ct9vLK4Dh9rI/Vq8uHmseEbF/7t8Cl3n6faGvqnlpKRNVk6w0xmQAiMg6rA/Dpaft0wvr8tPPIgLWB2zJWleflljuZP8vvyEQhFUW4xQiEgw0NMb8ZK/6AGuiohNOlEXZAKQYu+6QiGzHKmpXsiTMlcD7xph8AGNMafM69AGut5dnAC+Vsk8iMEGsGfa+MMb8arf1lNCBv4vIZYATq6R3mL1thzFmnb38CxAjIvWBSGPMl3Zsx+x2xGMlkbX2/kFYhTaXlBKXqmE0gaia5HiJ5WJKf38LsMAYc0sZxzhSYnk6cJ0xZr2IjMEuKFnBmJynxecsI77yOGv9IWPMJyKyArgamCsi93Nm8cvbgFDgImNMoYikYfUqSsYM1s8x4CynE+AFY8y/zyN+VUPoGIiqDXKB+vbycqCPiLQBEJF6ItKujO+rD+wRET+sD9wzjmeMyQEOiUhfe9so4CcqZgFw54k7xkSkcSn7/IxV5JHTYjpJRFoB240xU4CvgS6c+jMAa8bBfXbyuByIPltgxphcIENErrPPUdeOMwG4q8Q4UqSINC1Xa5XX0wSiaoOpwDwRWWyMycaqoDxTRJKwLvdcUMb3TcQZ7C9nAAAApUlEQVS67v8zsLnE+lnAeBFZaw8kj8YaVE8CumGNg5w3Y8w8rEteq+1LcONK2e0xYKyIbKDsmeRuBJLtY3TCmsL0ANZlu2QReRn4GOhhH+eO09pXllFY1aiTsMZqwo0x84FPgET7WLM5NVGpGkyr8SqllKoQ7YEopZSqEE0gSimlKkQTiFJKqQrRBKKUUqpCNIEopZSqEE0gSimlKkQTiFJKqQr5f2TPnoX6G/KyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (6, 4)\n",
    "for k in range(len(mappings)):\n",
    "    pylab.ylim(-1.14, -1.04)\n",
    "    pylab.plot(distances, hf_energies, label='Hartree-Fock')\n",
    "    for j in range(len(algorithms)):\n",
    "        pylab.plot(distances, energies[k][j], label=algorithms[j])\n",
    "    pylab.xlabel('Interatomic distance')\n",
    "    pylab.ylabel('Energy')\n",
    "    pylab.title('H2 Ground State Energy with {} mapping'.format(mappings[k].value))\n",
    "    pylab.legend(loc='upper right')\n",
    "    pylab.show()\n",
    "    \n",
    "    #pylab.plot(distances, np.subtract(hf_energies, energies[k][1]), label='Hartree-Fock')\n",
    "    pylab.plot(distances, np.subtract(energies[k][0], energies[k][1]), color=[0.8500, 0.3250, 0.0980], label='VQE')\n",
    "    pylab.xlabel('Interatomic distance')\n",
    "    pylab.ylabel('Energy')\n",
    "    pylab.yscale('log')\n",
    "    pylab.title('Energy difference from NumPyMinimumEigensolver with {} mapping'.format(mappings[k].value))\n",
    "    pylab.legend(loc='upper right')\n",
    "    pylab.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
